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 gcd(int a, int b)
{
	return b ? gcd(b, a % b) : a;
}

int main()
{
	int a, b, g, l;
	while (cin >> a >> b)
	{
		g = gcd(a, b); l = a / g * b;
		cout << g << ' ' << l << endl;
	}
	return 0;
}
