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<iomanip>
using namespace std;

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

int main()
{
    int a, b;
    while(cin >> a >> b)
    {
        cout << gcd(a, b) << " " << (long long) a * b /gcd(a, b) << endl;
    }
}