Question

# Write and test a C program that uses this fact to estimate π as follows 1....

Write and test a C program that uses this fact to estimate π as follows
1. Enter N, set C to zero
2. Generate N random pairs of integers (A,B) and if A and B are co-prime then add 1 to C
3. Print the estimate of pi = sqrt ( (6*N)/C )

Ans:-

CODE

#include<stdio.h>
#include<stdlib.h>
#include<time.h>
#include<math.h>
int iscoprime(int a, int b);
int main()
{
int n,c=0;
int a,b;
float pi;
printf("Enter the value of n: ");
scanf("%d",&n);
//printf("Enter any number for randomization ");
srand(time(0));
for(int i=0;i<n;i++)
{
a=rand()%100;
b=rand()%100;
printf("number %d and %d are: ",a,b);
if(iscoprime(a,b)==1)
{

c=c+1;
printf(" coprime ");
}
else printf(" not coprime ");
}
pi = sqrt ( (6*n)/c );
printf("The estimate of pi is %f",pi);

return 0;
}

int iscoprime(int a, int b) {

int gcd = 1;
int i;

for(i = 1; i < a || i < b ; ++i) {

if( (a % i == 0) && (b % i == 0)) {

gcd = i;
}
}

if ( gcd == 1 )
return 1;
else
return 0;
}

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