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trailing0s.c
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trailing0s.c
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// Trailing zeros in factorial of a number
#include <stdio.h>
long zeros(long n);
int main(void)
{
long num;
printf("Number: ");
scanf("%ld", &num);
printf("Factorial of %ld contains %ld zero(s)\n", num, zeros(num));
return 0;
}
// long zeros(long n)
// {
// long two = 0, five = 0, zero = 0;
// if (n == 0)
// {
// return 0;
// }
// for (long i = 1; i <= n; i++)
// {
// long val = i;
// while (val % 2 == 0)
// {
// val /= 2;
// two++;
// }
// while (val % 5 == 0)
// {
// val /= 5;
// five++;
// }
// }
// zero += (two < five ? two : five);
// return zero;
// }
long zeros(long n)
{
long zero = 0;
if (n <= 0)
{
return 0;
}
for (int i = 5; n / i > 0; i *= 5)
{
zero += n / i;
}
return zero;
}