The Euler totient function phi(n) gives the number of integers smaller than n that are relatively prime to n---that is, that share no common factors with n other than 1. For example, phi(12) = 4 because 1, 5, 7, and 11 share no common factors other than 1. If p is a prime number, then phi(p) = p-1 because all numbers smaller than p are relatively prime to p.
Write a function to compute the Euler totient function.
Note: I now realize that Cody Problem 656 also deals with the totient function. Apologies to Freddy.
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