show or count non-duplicated Pythagorean triple (a < b < c) combinations in JAVA. OEIS: http://oeis.org/A046083, http://oeis.org/A046084, http://oeis.org/A009000

Pythagoras.java

package pythagoras;

import java.util.HashSet;
import java.util.Objects;
import java.util.Set;

public class Pythagoras {
    static private class Triples {
        private int a;
        private int b;
        private int c;

        Triples(int a, int b, int c) {
            this.a = a;
            this.b = b;
            this.c = c;
        }

        @Override
        public boolean equals(Object o) {
            if (this == o) return true;
            if (!(o instanceof Triples)) return false;
            Triples triples = (Triples) o;
            return a == triples.a &&
                    b == triples.b &&
                    c == triples.c;
        }

        @Override
        public int hashCode() {
            return Objects.hash(a, b, c);
        }

        @Override
        public String toString() {
            return "(" +
                    "a=" + a +
                    ", b=" + b +
                    ", c=" + c +
                    ')';
        }
    }

    static private Set<Triples> getPythagoreanTriples(int n) { // with hypotenuse n or less
        Set<Triples> pythagoreanTriples = new HashSet<>();

        for (int l = 1; l * l + (l + 1) * (l + 1) <= n; l++) {
            for (int m = l + 1; l * l + m * m <= n; m++) {
                int a = m * m - l * l;
                int b = 2 * m * l;
                int c = m * m + l * l;

                if (a > b) {
                    int t = a;
                    a = b;
                    b = t;
                }

                for (int k = 1; k * c <= n; k++)
                    pythagoreanTriples.add(new Triples(k * a, k * b, k * c));
            }
        }

        return pythagoreanTriples;
    }

    static public void showPythagoreanTriples(int n) {
        for (Triples t : getPythagoreanTriples(n))
            System.out.println(t);
    }

    static public int countPythagoreanTriples(int n) {
        return getPythagoreanTriples(n).size();
    }

}