General Statement: For a set of 3 positive integers, determine the degree to which they are relatively prime.

DEGREE 0 – no relatively prime pairs

DEGREE 1 – 1 pair of relatively prime numbers

DEGREE 2 – 2 pairs of relatively prime numbers

DEGREE 3 – all 3 numbers are relatively prime

Input: The first line in the data set is an integer that represents the number of data collections that follow. Each data collection contains 3 integers.

Output: All letters are upper case.

The output is to be formatted exactly like that for the sample output given below.

Assumptions: The integers are in the range 1..500.

Discussion: Two integers are relatively prime if they have no common factors other than 1.

Sample Input:

3

4 2 12

5 7 10

3 4 5

Sample Output:

4 2 12 = DEGREE 0

5 7 10 = DEGREE 2

3 4 5 = DEGREE 3

Solutions :

#include <stdio.h>
int gcd (int x, int y)
{
if ( y == 0 )
return x;
return gcd (y, x % y);
}
int main ()
{
int dataset;
scanf ("%d", &dataset);
while( dataset-- ) {
int a;
int b;
int c;
scanf ("%d %d %d", &a, &b, &c);
int degree = 0;
if ( gcd (a, b) == 1 )
degree++;
if ( gcd (b, c) == 1 )
degree++;
if ( gcd (a, c) == 1 )
degree++;
printf ("%d %d %d = DEGREE %d\n", a, b, c, degree);
}
return 0;
}

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## Published by Shahab

Completed B.Sc in CSE, @United International University, Dhaka.
Currently working as Development Engineer, Android and iOS Application.
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