My 4ms C++ solution by counting 5's

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    class Solution {
        int trailingZeroes(int n) {
            int limit = int(log(n)/log(5));
            int count = 0;
            int i;
            for(i = 1;i<=limit;i++)
                count = count+n/pow(5,i);
            return count;

    The reason is that one 2 and one 5 together contribute a 10 (trailing zero), and that 2's are much more than 5's. Thus counting 5's is sufficient.

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