Pythagorean Triplets

A Pythagorean Triplet is set of three positive integers (a,b,c) such that

a²+b²=c²

^{For example (3,4,5) , (5,12,13), etc.}

^{Multiplying the triplets with a same number gives another triplets}

^{for example 2*(3,4,5)=(6,8,10)}

^{Following is the program to print Pythagorean Triplets where (a,b,c)<100 and can not be multiple of each other or factorised by each other i.e. if there is a set of (3,4,5) then (6,8,10) shoulnd be part of output.}

^{#include<stdio.h>
#include<math.h>
int check(int x,int y,int z)
{
        int i=2,r1,r2,r3,r;
        while(i<=x)
               {
                   r1=x%i;
                   r2=y%i;
                   r3=z%i;
                   r=r1+r2+r3;}

                   ^{if(r==0)
                      break;
                   else
                       i++;
                }}

           <sup>if (r==0)
                return 0;
           else
                return 1;
}



int main()
{

       float t=0;
       int a=0, u=0;
       int i, j;


       for(i=3;i<100;i++)
               {
                      for(j=i+1;j<100;j++)
                            {
                                 u=i*i+j*j;</sup>

                                 ^/*

                                  ^{sqrt() belongs to math.h header file. sqrt(4)=2, sqrt(4.5)=2.12132}

                                 ^{*/
                                  t=sqrt(u);
                                  a=t;
                                   /*} 

                                   ^{ceil() belongs to math.h header file. ceil(4.6)=5}

                                   ^{floor() belongs to math.h header file. floor(4.6)=4}

                                  ^{*/
                                   if(ceil(t)==floor(t)&& check(i,j,a))
                                              printf("(%d,%d,%d)\n",i,j,a);
                             }
                   }}

           ^{return 0;
}}