mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-10-06 21:59:30 +00:00
58 lines
1.4 KiB
Python
58 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):
|
|
"""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) as e:
|
|
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())))
|