PHP程序来计算一个数字的阶乘中的尾随零
给定一个整数 n,编写一个函数,返回 n! 中尾随零的计数。
例子 :
Input: n = 5
Output: 1
Factorial of 5 is 120 which has one trailing 0.
Input: n = 20
Output: 4
Factorial of 20 is 2432902008176640000 which has
4 trailing zeroes.
Input: n = 100
Output: 24
Trailing 0s in n! = Count of 5s in prime factors of n!
= floor(n/5) + floor(n/25) + floor(n/125) + ....
PHP
= 1; $i *= 5)
$count += $n / $i;
return $count;
}
// Driver Code
$n = 100;
echo "Count of trailing 0s in ", 100,
"! is ", findTrailingZeros($n);
// This code is contributed by vt_m
?>
输出:
Count of trailing 0s in 100! is 24
有关更多详细信息,请参阅有关在数字的阶乘中计数尾随零的完整文章!