Python/Project Euler/Problem 05/sol1.py

'''
Problem:
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(divisible with no remainder) by all of the numbers from 1 to N?
'''
from __future__ import print_function

n = int(input())
i = 0
while 1:
    i+=n*(n-1)
    nfound=0
    for j in range(2,n):
        if (i%j != 0):
            nfound=1
            break
    if(nfound==0):
        if(i==0):
            i=1
        print(i)
        break