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Sequence

GCD (Euclid’s algorithm)

Core exercise

Write pgcd(int a, int b) that returns the greatest common divisor, using Euclid’s algorithm.

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Starting code

Exercices.java

public class Exercices {

    public static void main(String[] args) {
        System.out.println("pgcd(1071, 462) = " + pgcd(1071, 462));
    }

    public static int pgcd(int a, int b) {
        // TODO : algorithme d'Euclide
        return 0;
    }
}

The core exercise is validated in the workshop, which requires JavaScript.

Hint 1

As long as b is not zero: the new pair becomes (b, a % b). When b reaches 0, the answer is a.