#include <cstdio>
int gcd(int a, int b){
	return b?gcd(b,a%b):a;
}
int main(){
	int a,b;
	while(~scanf("%d%d",&a,&b))
		printf("%d %d\n",gcd(a,b),a/gcd(a,b)*b);
}
### Prompt

In cpp, your task is to solve 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 <cstdio>
int gcd(int a, int b){
	return b?gcd(b,a%b):a;
}
int main(){
	int a,b;
	while(~scanf("%d%d",&a,&b))
		printf("%d %d\n",gcd(a,b),a/gcd(a,b)*b);
}
```