BAEL-3115

- GCD implementation methods using Brute force, Euclid's Algo and Stein's Algo

java-math/src/main/java/com/baeldung/algorithms/gcd/GCDImplementation.java

@@ -0,0 +1,51 @@
+package com.baeldung.algorithms.gcd;
+
+public class GCDImplementation {
+
+    public static int gcdByBruteForce(int n1, int n2) {
+        int gcd = 1;
+        for (int i = 1; i <= n1 && i <= n2; i++)
+            if (n1 % i == 0 && n2 % i == 0)
+                gcd = i;
+
+        return gcd;
+    }
+
+    public static int gcdByEuclidsAlgorithm(int n1, int n2) {
+        if (n2 == 0)
+            return n1;
+        return gcdByEuclidsAlgorithm(n2, n1 % n2);
+    }
+
+    public static int gcdBySteinsAlgorithm(int n1, int n2) {
+
+        if (n1 == 0)
+            return n2;
+
+        if (n2 == 0)
+            return n1;
+
+        int n;
+        for (n = 0; ((n1 | n2) & 1) == 0; n++) {
+            n1 >>= 1;
+            n2 >>= 1;
+        }
+
+        while ((n1 & 1) == 0)
+            n1 >>= 1;
+
+        do {
+            while ((n2 & 1) == 0)
+                n2 >>= 1;
+
+            if (n1 > n2) {
+                int temp = n1;
+                n1 = n2;
+                n2 = temp;
+            }
+            n2 = (n2 - n1);
+        } while (n2 != 0);
+
+        return n1 << n;
+    }
+}

java-math/src/test/java/com/baeldung/algorithms/gcd/GCDImplementationUnitTest.java

@@ -0,0 +1,32 @@
+package com.baeldung.algorithms.gcd;
+
+import org.junit.Test;
+
+import static org.assertj.core.api.Assertions.assertThat;
+
+public class GCDImplementationUnitTest {
+
+    @Test
+    public void whenCalculatingGCDByBruteForceMethod_thenCorrect() {
+        int n1 = 60;
+        int n2 = 90;
+        int gcd = GCDImplementation.gcdByBruteForce(n1, n2);
+        assertThat(gcd).isEqualTo(30);
+    }
+
+    @Test
+    public void whenCalculatingGCDByEuclidsAlgorithm_thenCorrect() {
+        int n1 = 60;
+        int n2 = 90;
+        int gcd = GCDImplementation.gcdByEuclidsAlgorithm(n1, n2);
+        assertThat(gcd).isEqualTo(30);
+    }
+
+    @Test
+    public void whenCalculatingGCDBySteinsAlgorithm_thenCorrect() {
+        int n1 = 60;
+        int n2 = 90;
+        int gcd = GCDImplementation.gcdBySteinsAlgorithm(n1, n2);
+        assertThat(gcd).isEqualTo(30);
+    }
+}