mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-05 02:40:16 +00:00
a3383ce3fd
* Reduced Time Complexity to O(sqrt(n)) * Added testmod * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
35 lines
845 B
Python
35 lines
845 B
Python
from doctest import testmod
|
|
from math import sqrt
|
|
|
|
|
|
def factors_of_a_number(num: int) -> list:
|
|
"""
|
|
>>> factors_of_a_number(1)
|
|
[1]
|
|
>>> factors_of_a_number(5)
|
|
[1, 5]
|
|
>>> factors_of_a_number(24)
|
|
[1, 2, 3, 4, 6, 8, 12, 24]
|
|
>>> factors_of_a_number(-24)
|
|
[]
|
|
"""
|
|
facs: list[int] = []
|
|
if num < 1:
|
|
return facs
|
|
facs.append(1)
|
|
if num == 1:
|
|
return facs
|
|
facs.append(num)
|
|
for i in range(2, int(sqrt(num)) + 1):
|
|
if num % i == 0: # If i is a factor of num
|
|
facs.append(i)
|
|
d = num // i # num//i is the other factor of num
|
|
if d != i: # If d and i are distinct
|
|
facs.append(d) # we have found another factor
|
|
facs.sort()
|
|
return facs
|
|
|
|
|
|
if __name__ == "__main__":
|
|
testmod(name="factors_of_a_number", verbose=True)
|