diff --git a/project_euler/problem_03/sol3.py b/project_euler/problem_03/sol3.py new file mode 100644 index 000000000000..5fe45df59984 --- /dev/null +++ b/project_euler/problem_03/sol3.py @@ -0,0 +1,63 @@ +""" +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) -> 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.") + i = 2 + ans = 0 + if n == 2: + return 2 + while n > 2: + while n % i != 0: + i += 1 + ans = i + while n % i == 0: + n = n / i + i += 1 + + return int(ans) + + +if __name__ == "__main__": + # print(solution(int(input().strip()))) + import doctest + + doctest.testmod()