#include<iostream>
using namespace std;
int gl(int a,int b);
int main(){
	int a,b;
	while(cin >>a>>b){
		cout <<gl(a,b)<<" "<<a/gl(a,b)*b<<endl;
	}
	return 0;
}
int gl(int a, int b){
	if(b == 0){return a;}
	return gl(b,a%b);
}
### Prompt

Please create a solution in cpp to 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 gl(int a,int b);
int main(){
	int a,b;
	while(cin >>a>>b){
		cout <<gl(a,b)<<" "<<a/gl(a,b)*b<<endl;
	}
	return 0;
}
int gl(int a, int b){
	if(b == 0){return a;}
	return gl(b,a%b);
}
```