2018-10-19 12:48:28 +00:00
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#!/bin/python3
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'''
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Problem:
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2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.
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What is the smallest positive number that is evenly divisible(divisible with no remainder) by all of the numbers from 1 to N?
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'''
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""" Euclidean GCD Algorithm """
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def gcd(x,y):
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return x if y==0 else gcd(y,x%y)
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""" Using the property lcm*gcd of two numbers = product of them """
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def lcm(x,y):
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return (x*y)//gcd(x,y)
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2018-10-20 19:45:08 +00:00
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n = int(input())
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2018-10-19 12:48:28 +00:00
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g=1
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for i in range(1,n+1):
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g=lcm(g,i)
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print(g)
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