Editorial for JDCC '16 Contest 2 P1 - Simplify

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Author: aurpine

To simplify a fraction you find the greatest common denominator (GCD) and divide both the numerator and the denominator by it.

Iterating through the smaller number is sufficient for the problem for \mathcal{O}(\sqrt{\min(N, D)})

However a faster algorithm is using Euclid's algorithm for GCD.

int gcd(int a, int b) {
    if (b == 0) return a;
    return gcd(b, a % b);

Time Complexity: \mathcal{O}(\log \min(N, D))


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