Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Output

For each data set, print GCD and LCM separated by a single space in a line.

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
/* package whatever; // don't place package name! */

import java.util.Scanner;

class Main
{
	public static void main (String[] args) throws java.lang.Exception
	{
		Scanner cin = new Scanner(System.in);
		
		while (cin.hasNext()){
			int a = cin.nextInt();
			int b = cin.nextInt();
			int gcd = GCD(a, b);
			int lcm = a / gcd * b;
			
			System.out.println(gcd + " " + lcm);
		}
	}
	
	private static int GCD(int a, int b)
	{
		if (a % b != 0){
			return (GCD(b, a % b));
		}
		else {
			return (b);
		}
	}
}