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Friday 24 June 2011

EUCLID and EXTENDED EUCLID algorithm.

#include<stdio.h>
#include<conio.h>

void main()
{
            int a,b,r1,r2,q,r,s1,s2,s,t1,t2,t,gcd,ans,c;
            clrscr();
            printf("0:EUCLIDIAN\n");
            printf("1:EXTENDED EUCLIDIAN\n");
            printf("Plese enter your choice\n");
            scanf("%d",&c);
            if(c==1)
            {

            printf("Enter the numbers to find GCD\n");

            printf("Enter r1 and r2:\n");
            scanf("%d%d",&a,&b);

            r1=a;
            r2=b;
       s1=1;
       s2=0;
       t1=0;
       t2=1;
            while(r2>0)
            {
                        q=r1/r2;
                        r=r1-(r2*q);
                        r1=r2;
                        r2=r;
                        s=s1-(q*s2);
                        s1=s2;
                        s2=s;
                        t=t1-(q*t2);
                        t1=t2;
                        t2=t;
            }
            gcd=r1;
            s=s1;t=t1;

            ans=(s*a)+(t*b);
            printf("\nGCD For %d and %d  GCD(%d,%d) is : %d",a,b,a,b,gcd);
            printf("\nGCD For %d and %d  GCD(%d,%d) is (%d*%d)+(%d*%d)=%d",a,b,a,b,s,a,t,b,ans);
            }
            else
            {
            printf("Enter the numbers to find GCD\n");

            printf("Enter r1 and r2 :\n");
            scanf("\t%d\t%d",&r1,&r2);

            a=r1;
            b=r2;
            while(b>0)
            {
                        q=a/b;
                        r=a-(b*q);
                        a=b;
                        b=r;
            }
            gcd=a;

            printf("\nGCD For %d and %d  GCD(%d,%d) is : %d",r1,r2,r1,r2,gcd);
            }
            getch();

}

output:



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