Given two non-negative integers num1 and num2 represented as strings, return the product of num1 and num2, also represented as a string.
Example 1:
Input: num1 = "2", num2 = "3"
Output: "6"
Example 2:
Input: num1 = "123", num2 = "456"
Output: "56088"
Note:
- The length of both
num1andnum2is < 110. - Both
num1andnum2contain only digits0-9. - Both
num1andnum2do not contain any leading zero, except the number 0 itself. - You must not use any built-in BigInteger library or convert the inputs to integer directly.
class Solution {
public String multiply(String num1, String num2) {
int m = num1.length(), n = num2.length();
int[] pos = new int[m + n];
for(int i = m - 1; i >= 0; i--) {
for(int j = n - 1; j >= 0; j--) {
int mul = (num1.charAt(i) - '0') * (num2.charAt(j) - '0');
int p1 = i + j, p2 = i + j + 1;
int sum = mul + pos[p2];
pos[p1] += sum / 10;
pos[p2] = (sum) % 10;
}
}
StringBuilder sb = new StringBuilder();
for(int p : pos)
if(!(sb.length() == 0 && p == 0))
sb.append(p);
return sb.length() == 0 ? "0" : sb.toString();
}
}