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,c,rest;
	while(cin >>a>>b){
		int a2=a,b2=b;
		if(a>b){c=a;a=b;b=c;}
		while((rest=b%a)!=0){
			b=a;
			a=rest;
		}
		cout <<a <<" "<<a2/a*b2 << endl;
	}
	return 0;
}