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 <iostream>
using namespace std;

int main(int argc, char *argv[]){
    int a,b,r;
	while(cin>>a>>b){
		int a0=a,b0=b;
		r=a%b;
		while(r!=0){
			a=b;
			b=r;
			r=a%b;
		}
	    
		cout <<b<<" "<< a0*(b0/b) << endl;
	}
    return 0;
}