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?
highlight below for my solution:
#using a prime number set datastructure - https://gist.github.com/aausch/6709819 p = PrimeSet() def min_product(n): n in p #initialize the PrimeSet with all primes less than n product = 1 for prime in p: product = product * (prime ** (int(n ** (1.0/prime)))) return product print min_product(20)
(see also my solution to problem #3)