#!/usr/bin/env python3
########################################################################
# Solves problem 5 from projectEuler.net.
# Finds the least common multiple of the first 20 integers.
# Copyright (C) 2010 Santiago Alessandri
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see .
#
# You can contact me at san.lt.ss@gmail.com
# Visit my wiki at http://san-ss.wikidot.com
########################################################################
if __name__ == '__main__':
n = 20
lt = list(range(1, n+1))
for i in range(1, n):
x = lt[i]
index = i + 1
while index < n:
if (lt[index] % x) == 0:
lt[index] //= x
index += 1
result = 1
for elem in lt:
result *= elem
print("The result is:", result)