43. 字符串相乘

class Solution {
public:
string multiply(string num1, string num2) {
vector<int> A, B;
int n = num1.size(), m = num2.size();
for(int i = n - 1; i >= 0; --i) A.push_back(num1[i] - '0');
for(int i = m - 1; i >= 0; --i) B.push_back(num2[i] - '0');
vector<int> C(n + m);
for(int i = 0; i < n; ++i){
for(int j = 0; j < m; ++j){
C[i+j] += A[i] * B[j];
}
}
for(int i = 0, t = 0; i < C.size(); ++i){
t += C[i];
C[i] = t % 10;
t /= 10;
}
int k = C.size() - 1;
while(k > 0 && !C[k]) k--;
string res = "";
while(k >= 0) res += C[k--] + '0';
return res;
}
};