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 a,b;
	while(cin>>a>>b){
		int a2=a;
		int b2=b;
		while(true){
			if(a>b){
				a=a%b;
			}else{
				b=b%a;
			}
			if(a==0||b==0)break;
		}
	cout<<max(a,b)<<" "<<a2/max(a,b)*b2<<endl;
	}
	return 0;
}