Computing the factorial of a number

/* factorial.c -- It computes repeatedly the factorial of an integer entered 
*        by the user. It terminates when the integer entered is not
*        positive.
*/

#include <stdio.h>

int fact(int n);

int main(void) {
int current;

printf("Enter a positive integer [to terminate enter non-positive] > ");
scanf("%d", &current);
while (current > 0) {
printf("The factorial of %d is %d\n", current, fact(current)); 
printf("Enter a positive integer [to terminate enter non-positive] > ");
scanf("%d", &current);
}
}

/* n is a positive integer. The function returns its factorial */
int fact(int n) {
int lcv;    /* loop control variable */
int p;      /* set to the product of the first lcv positive integers */

for(p=1, lcv=2; lcv <= n; p=p*lcv, lcv++);
return p;
}