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;

typedef unsigned long long L;
int main(){
	for(L a,b,c,d,e; cin>>a>>b;){
		for(c=a,d=b;;){
			e = c % d;
			c = d;
			d = e;
			if(!e)break;
		}
		cout<<c<<" "<<a*b/c<<endl;
	}
}