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>
#include<algorithm>
using namespace std;
int main(){
	int a,b,c,d;
	int i,j,k;
	while(cin>>a>>b){
		c=a;
		d=b;
		while(d!=0){
			c%=d;
			swap(c,d);
		}
		a/=c;
		b/=c;
		d=a*b*c;
		cout<<c<<" "<<d<<endl;
	}
	return 0;
}
			