projecteuler: 5

0x05.py

"""
2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.

What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?
"""

check_list = [11, 13, 14, 16, 17, 18, 19, 20]


def find_solution(step):
    for num in range(step, 999999999, step):
        if all(num % n == 0 for n in check_list):
            return num
    return None


print("smallest positive number is: {}".format(find_solution(20)))