Given two numbers represented as strings, return multiplication of the numbers as a string.
Note: The numbers can be arbitrarily large and are non-negative.
本题先用数组存放每一位相乘后的累加数字,比如几个十,然后把它转换为string类型的数字,再去掉前面多余的0.时间:9ms。代码如下:
class Solution { public: string multiply(string num1, string num2) { if (num1.size() == 0) return num2; else if (num2.size() == 0) return num1; vector<int> v(num1.size() + num2.size() - 1, 0); reverse(num1.begin(), num1.end()); reverse(num2.begin(), num2.end()); for (string::size_type i = 0; i < num2.size(); i++){ if (num2[i] != '0'){ for (string::size_type j = 0; j < num1.size(); j++){ v[i + j] += (num1[j] - '0')*(num2[i] - '0'); } } } string str=""; int temp(0); for (vector<int>::size_type i = 0; i < v.size(); i++){ str += '0' + (v[i] + temp) % 10; temp = (v[i] + temp) / 10; } if (temp>0) str += '0' + temp % 10; reverse(str.begin(), str.end()); string::const_iterator iter = str.begin(); for (; iter != str.end() && *iter == '0'; ++iter); if (iter == str.end()) return "0"; else return str.substr(iter - str.begin(), str.end() - iter); } };