master-algorithms-py/math_logic_dp/playing_with_math.py

51 lines
976 B
Python

#!/usr/bin/env python3
# -*- coding: utf-8 -*-
# author: bt3gl
import math
import random
def find_greatest_common_divider(a, b) -> int:
'''Implements the greatest common divider algorithm '''
while(b != 0):
result = b
a, b = b, a % b
return result
def _is_prime(number) -> bool:
'''Check if a number is prime '''
if number < 2:
return False
for i in range(2, int(math.sqrt(number))):
if number % i == 0:
return False
return True
def find_prime_factors(number) -> list:
'''Find prime factors of a number '''
divisors = [d for d in range(2, number//2 + 1) if number % d == 0]
primes = [d for d in divisors if _is_prime(d)]
return primes
if __name__ == '__main__':
n1 = 21
n2 = 7
print(f'Greatest common divider of {n1} and {n2} is {find_greatest_common_divider(n1, n2)}')
print(f'Prime factors of {n1} are {find_prime_factors(n1)}')