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 <cstdio>
int main(){
	long a,b,x,y;
	while (~scanf("%ld%ld", &a, &b)) {
		for(x=a,y=b; x%=y; x^=y^=x^=y);
		printf("%ld %ld\n", y, a*b/y);
	}
}