用10!这个数字做思考,发现每五个数得到一个0,总结规律
z=n/5+n/(5*5)+n/(5*5*5)+…+(直到n小于n的a次幂) //来源公式之美
代码如下:
class Solution { public: /* * @param n: A long integer * @return: An integer, denote the number of trailing zeros in n! */ long long trailingZeros(long long n) { // write your code here, try to do it without arithmetic operators. long num = 0; while(n > 0) { num += n / 5; n /= 5; } return num; } };
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