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>

long long a,b,c,tmp;

int main()
{
    while(1)
    {
        scanf("%lld %lld",&a,&b);
        tmp = a*b;
        while(a != b)
        {
            if(a>b)
            {
                c = a - b;

                a = c;
            }
            else
            {
                c = b - a;

                b = c;
            }
        }
        printf("%lld %lld\n",c,tmp/c);
    }
    return 0;
}