#include <iostream>
using namespace std;
int main(){
	long long a,b,i;
	while(cin>>a>>b){
		for(i=a;i<2000000000;i+=a){
			if(i%b==0)break;
		    }
		    cout<<a*b/i<<" "<<i<<endl;
		}
	return 0;
	}

### Prompt

Create a solution in cpp for the following problem:

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

### Response

```cpp
#include <iostream>
using namespace std;
int main(){
	long long a,b,i;
	while(cin>>a>>b){
		for(i=a;i<2000000000;i+=a){
			if(i%b==0)break;
		    }
		    cout<<a*b/i<<" "<<i<<endl;
		}
	return 0;
	}

```