mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 09:10:16 +00:00
21 lines
528 B
Python
21 lines
528 B
Python
#!/bin/python3
|
|
'''
|
|
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?
|
|
'''
|
|
|
|
""" Euclidean GCD Algorithm """
|
|
def gcd(x,y):
|
|
return x if y==0 else gcd(y,x%y)
|
|
|
|
""" Using the property lcm*gcd of two numbers = product of them """
|
|
def lcm(x,y):
|
|
return (x*y)//gcd(x,y)
|
|
|
|
n = int(input())
|
|
g=1
|
|
for i in range(1,n+1):
|
|
g=lcm(g,i)
|
|
print(g)
|