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Multiplicative order in java
Following is a Java program which prints the multiplicative order of given numbers.
import java.util.Scanner;
Program
public class MultiplicativeOrder { public static int gcd(int num1, int num2) { if (num2 != 0) { return gcd(num2, num1 % num2); } else { return num1; } } static int multiplicativeOrder(int num1, int num2) { if (gcd(num1, num2) != 1) { return -1; } int res = 1; int p = 1; while (p < num2) { res = (res * num1) % num2; if (res == 1) { return p; } p++; } return -1; } public static void main(String args[]) { Scanner sc = new Scanner(System.in); System.out.println("Enter number1"); int num1 = sc.nextInt(); System.out.println("Enter number2"); int num2 = sc.nextInt(); System.out.println(multiplicativeOrder(num1, num2)); } }
Output
Enter number1 10 Enter number2 7 Multiplicative order: 6
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