mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 05:21:09 +00:00
54401387a8
* Fix typehints in project_euler/problem01 Squashed commit of the following: commit 6801d073b31bf702814861cd3b07b634ca295bfa Author: Archaengel <god11341258@gmail.com> Date: Mon Oct 5 16:40:10 2020 -0700 Fix typehints in project_euler/problem01 commit 29afc3af114abd1b99dc3f7c8fc99128229db131 Author: Archaengel <god11341258@gmail.com> Date: Mon Oct 5 15:06:34 2020 -0700 Add typehints and default argument for project_euler/problem_01 * Add default args, typehints, and expand variable names for PE prob 02 * Add style improvements for first solution of PE Problem 02 * Add default arg and typehints for second solution of PE Problem 02 * Add default arg for third solution of PE Problem 02 * Add style improvements for 1st soln of PE problem 03 * Add default arg and typehints for 2nd soln of PE problem 03 * Add default arg for 3rd soln of PE problem 03 * Remove unnecessary newlines * Remove unnecessary newlines * Fix end of file for 2nd soln in PE problem 03
57 lines
1.4 KiB
Python
57 lines
1.4 KiB
Python
"""
|
|
Problem:
|
|
The prime factors of 13195 are 5,7,13 and 29. What is the largest prime factor
|
|
of a given number N?
|
|
|
|
e.g. for 10, largest prime factor = 5. For 17, largest prime factor = 17.
|
|
"""
|
|
|
|
|
|
def solution(n: int = 600851475143) -> int:
|
|
"""Returns the largest prime factor of a given number n.
|
|
>>> solution(13195)
|
|
29
|
|
>>> solution(10)
|
|
5
|
|
>>> solution(17)
|
|
17
|
|
>>> solution(3.4)
|
|
3
|
|
>>> solution(0)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Parameter n must be greater or equal to one.
|
|
>>> solution(-17)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Parameter n must be greater or equal to one.
|
|
>>> solution([])
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: Parameter n must be int or passive of cast to int.
|
|
>>> solution("asd")
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: Parameter n must be int or passive of cast to int.
|
|
"""
|
|
try:
|
|
n = int(n)
|
|
except (TypeError, ValueError):
|
|
raise TypeError("Parameter n must be int or passive of cast to int.")
|
|
if n <= 0:
|
|
raise ValueError("Parameter n must be greater or equal to one.")
|
|
prime = 1
|
|
i = 2
|
|
while i * i <= n:
|
|
while n % i == 0:
|
|
prime = i
|
|
n //= i
|
|
i += 1
|
|
if n > 1:
|
|
prime = n
|
|
return int(prime)
|
|
|
|
|
|
if __name__ == "__main__":
|
|
print(solution(int(input().strip())))
|