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18. Program to Find GCDLCM.

import java.util.Scanner;

class GCDLCM
{
public static void main(String args[])
{
int x, y;
Scanner sc = new Scanner(System.in);

System.out.println("Enter the two numbers: ");
x = sc.nextInt();
y = sc.nextInt();

System.out.println("GCD of two numbers is : " + gcd(x, y));
System.out.println("LCM of two numbers is : " + lcm(x, y));
}

static int gcd(int x, int y)
{
int r = 0, a, b;
a = (x > y) ? x : y; // a is greater number
b = (x < y) ? x : y; // b is smaller number

r = b;
while (a % b != 0)
{
r = a % b;
a = b;
b = r;
}
return r;
}

static int lcm(int x, int y)
{
int a;
a = (x > y) ? x : y; // a is greater number
while (true)
{
if (a % x == 0 && a % y == 0)
{
return a;
}
++a;
}
}
}

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18. Program to Find GCDLCM.

import java.util.Scanner;

class GCDLCM
{
public static void main(String args[])
{
int x, y;
Scanner sc = new Scanner(System.in);

System.out.println("Enter the two numbers: ");
x = sc.nextInt();
y = sc.nextInt();

System.out.println("GCD of two numbers is : " + gcd(x, y));
System.out.println("LCM of two numbers is : " + lcm(x, y));
}

static int gcd(int x, int y)
{
int r = 0, a, b;
a = (x > y) ? x : y; // a is greater number
b = (x < y) ? x : y; // b is smaller number

r = b;
while (a % b != 0)
{
r = a % b;
a = b;
b = r;
}
return r;
}

static int lcm(int x, int y)
{
int a;
a = (x > y) ? x : y; // a is greater number
while (true)
{
if (a % x == 0 && a % y == 0)
{
return a;
}
++a;
}
}
}

@java_codings

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