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 m,n,r,t,min,max;
	while(cin>>m>>n)
	{
		max=m;
		min=n;
		if(n>m)
		{
			t=min;
			min=max;
			max=t;
		}
		while(r=max%min)
		{
			max=min;
			min=r;
		}
		r=m/min*n;
		cout<<min<<" "<<r<<endl;
	}
}