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
#include<stdio.h>
int GCD (int a, int b) {
	return b ? GCD (b, a % b) : a;
}
int LCM (int a, int b) {
	return a / GCD (a, b) * b;
}
int main () {
	int a, b;
	while (~scanf("%d%d", &a, &b)) {
		printf("%d %d\n", GCD(a, b), LCM (a, b));
	}
	return 0;
}