Algorithms/Time Complexity

GCD_CMPL

ND Paul Kim 2018. 10. 12. 18:56

In the following C++ function, let n >= m.

    int gcd(int n, int m) {
            if (n%m ==0) return m;
            if (n < m) swap(n, m);
            while (m > 0) {
                n = n%m;
                swap(n, m);
            }
            return n;
    }

What is the time complexity of the above function assuming n > m?

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Good solution:

Euclidean algorithm