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Không nhiều người biết, nhưng Python cung cấp một chức năng trực tiếp có thể tính toán giai thừa của một số mà không viết toàn bộ mã để tính toán.
Phương pháp ngây thơ để tính toán giai thừa
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.0____11
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.2
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.3
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.1
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.5
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.6
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.7
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.8
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.9
The factorial of 23 is : 258520167388849766400000
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.5
The factorial of 23 is : 25852016738884976640000223____
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.5
The factorial of 23 is : 258520167388849766400005
The factorial of 23 is : 258520167388849766400006
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.3
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.1
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.3
The factorial of -5 is :0
The factorial of -5 is :1
The factorial of -5 is :2
The factorial of 23 is : 258520167388849766400000
The factorial of -5 is :4
The factorial of -5 is :5
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.1
The factorial of -5 is :7
The factorial of -5 is :2
The factorial of -5 is :9
Đầu ra:
The factorial of 23 is : 25852016738884976640000
Sử dụng math.factorial []
Phương pháp này được định nghĩa trong mô -đun Math Math của Python. Bởi vì nó có loại C thực hiện nội bộ, nó là nhanh.math” module of python. Because it has C type internal implementation, it is fast.
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.
Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values0
Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values1
The factorial of -5 is :2
The factorial of 23 is : 258520167388849766400000
The factorial of -5 is :4
Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values5
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.1
The factorial of -5 is :7
The factorial of -5 is :2
Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values9
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.22
Đầu ra:
The factorial of 23 is : 25852016738884976640000
Sử dụng math.factorial []
- Phương pháp này được định nghĩa trong mô -đun Math Math của Python. Bởi vì nó có loại C thực hiện nội bộ, nó là nhanh.
Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values
0Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values
1The factorial of -5 is :
2The factorial of 23 is : 25852016738884976640000
0The factorial of -5 is :
4Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values
5math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.
1The factorial of -5 is :
7The factorial of -5 is :
2Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values
9math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.
22Đầu ra:
The factorial of -5 is :
Sử dụng math.factorial []
Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values
- Phương pháp này được định nghĩa trong mô -đun Math Math của Python. Bởi vì nó có loại C thực hiện nội bộ, nó là nhanh.
Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values
0Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values
1The factorial of -5 is :
2The factorial of 23 is : 25852016738884976640000
0The factorial of -5 is :
4Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values
5math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.
1The factorial of -5 is :
7The factorial of -5 is :
2Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values
9math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.
22Đầu ra:
The factorial of 5.6 is :
Sử dụng math.factorial []
Traceback [most recent call last]: File "/home/3987966b8ca9cbde2904ad47dfdec124.py", line 9, in print [math.factorial[5.6]] ValueError: factorial[] only accepts integral values
Phương pháp này được định nghĩa trong mô -đun Math Math của Python. Bởi vì nó có loại C thực hiện nội bộ, nó là nhanh.Manjeet Singh. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to . See your article appearing on the GeeksforGeeks main page and help other Geeks.
Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values0
Traceback [most recent call last]: File "/home/f29a45b132fac802d76b5817dfaeb137.py", line 9, in print [math.factorial[-5]] ValueError: factorial[] not defined for negative values1
Trong bài viết này, bạn sẽ học cách tìm thấy giai thừa của một số và hiển thị nó.
Để hiểu ví dụ này, bạn nên có kiến thức về các chủ đề lập trình Python sau:
- Python nếu ... tuyên bố khác
- Python cho vòng lặp
- Đệ quy Python
Nấp của một số là sản phẩm của tất cả các số nguyên từ 1 đến số đó.
Ví dụ, giai thừa của 6 là
# Python program to find the factorial of a number provided by the user.
# change the value for a different result
num = 7
# To take input from the user
#num = int[input["Enter a number: "]]
factorial = 1
# check if the number is negative, positive or zero
if num < 0:
print["Sorry, factorial does not exist for negative numbers"]
elif num == 0:
print["The factorial of 0 is 1"]
else:
for i in range[1,num + 1]:
factorial = factorial*i
print["The factorial of",num,"is",factorial]
7. Sự kiện không được định nghĩa cho các số âm và giai thừa của số 0 là một, # Python program to find the factorial of a number provided by the user.
# change the value for a different result
num = 7
# To take input from the user
#num = int[input["Enter a number: "]]
factorial = 1
# check if the number is negative, positive or zero
if num < 0:
print["Sorry, factorial does not exist for negative numbers"]
elif num == 0:
print["The factorial of 0 is 1"]
else:
for i in range[1,num + 1]:
factorial = factorial*i
print["The factorial of",num,"is",factorial]
8.Đơn vị của một số sử dụng vòng lặp
# Python program to find the factorial of a number provided by the user.
# change the value for a different result
num = 7
# To take input from the user
#num = int[input["Enter a number: "]]
factorial = 1
# check if the number is negative, positive or zero
if num < 0:
print["Sorry, factorial does not exist for negative numbers"]
elif num == 0:
print["The factorial of 0 is 1"]
else:
for i in range[1,num + 1]:
factorial = factorial*i
print["The factorial of",num,"is",factorial]
Đầu ra
The factorial of 7 is 5040
Lưu ý: Để kiểm tra chương trình cho một số khác, thay đổi giá trị của
9. To test the program for a different number, change the value of # Python program to find the factorial of a number provided by the user.
# change the value for a different result
num = 7
# To take input from the user
#num = int[input["Enter a number: "]]
factorial = 1
# check if the number is negative, positive or zero
if num < 0:
print["Sorry, factorial does not exist for negative numbers"]
elif num == 0:
print["The factorial of 0 is 1"]
else:
for i in range[1,num + 1]:
factorial = factorial*i
print["The factorial of",num,"is",factorial]
# Python program to find the factorial of a number provided by the user.
# change the value for a different result
num = 7
# To take input from the user
#num = int[input["Enter a number: "]]
factorial = 1
# check if the number is negative, positive or zero
if num < 0:
print["Sorry, factorial does not exist for negative numbers"]
elif num == 0:
print["The factorial of 0 is 1"]
else:
for i in range[1,num + 1]:
factorial = factorial*i
print["The factorial of",num,"is",factorial]
9.Ở đây, số lượng có được tìm thấy giai đoạn được lưu trữ trong
# Python program to find the factorial of a number provided by the user.
# change the value for a different result
num = 7
# To take input from the user
#num = int[input["Enter a number: "]]
factorial = 1
# check if the number is negative, positive or zero
if num < 0:
print["Sorry, factorial does not exist for negative numbers"]
elif num == 0:
print["The factorial of 0 is 1"]
else:
for i in range[1,num + 1]:
factorial = factorial*i
print["The factorial of",num,"is",factorial]
9 và chúng tôi kiểm tra xem số đó là âm, 0 hoặc dương bằng câu lệnh The factorial of 7 is 50401. Nếu số là dương, chúng tôi sử dụng chức năng
math.factorial[x] Parameters : x : The number whose factorial has to be computed. Return value : Returns the factorial of desired number. Exceptions : Raises Value error if number is negative or non-integral.6 và
The factorial of 7 is 50403 để tính toán giai thừa.
Lặp đi lặp lại | Factorial*i [giá trị trả về] |
i = 1 | 1 * 1 = 1 |
i = 2 | 1 * 2 = 2 |
i = 3 | 2 * 3 = 6 |
i = 4 | 6 * 4 = 24 |
i = 5 | 24 * 5 = 120 |
i = 6 | 120 * 6 = 720 |
i = 7 | 720 * 7 = 5040 |
Đơn vị của một số sử dụng đệ quy
# Python program to find the factorial of a number provided by the user
# using recursion
def factorial[x]:
"""This is a recursive function
to find the factorial of an integer"""
if x == 1:
return 1
else:
# recursive call to the function
return [x * factorial[x-1]]
# change the value for a different result
num = 7
# to take input from the user
# num = int[input["Enter a number: "]]
# call the factorial function
result = factorial[num]
print["The factorial of", num, "is", result]
Trong ví dụ trên,
The factorial of 7 is 50404 là một hàm đệ quy tự gọi. Ở đây, chức năng sẽ tự gọi mình bằng cách giảm giá trị của x.
Để tìm hiểu về hoạt động của đệ quy, hãy truy cập đệ quy Python.