Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

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.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in C (judge verdict: Time Limit Exceeded)

#include <stdio.h>

int main(void){
    long a,b,i=2;
    while(scanf("%ld %ld",&a,&b)!=EOF){
        i=a;
        while(1){
            if(a%i==0&&b%i==0) break;
            i--;
        }
        printf("%ld %ld\n",i,a*b/i);
    }
    return 0;
}