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
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		while (sc.hasNext()) {
			int a = sc.nextInt();
			int b = sc.nextInt();
			System.out.println(GCD(a, b) + " " + 1l * a * b / GCD(a, b));
		}
		sc.close();
	}

	public static int GCD(int x, int y) {
		int tmp;
		while ((tmp = x % y) != 0) {
			x = y;
			y = tmp;
		}
		return y;
	}
}