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Leetcode 43. Multiply Strings

43. Multiply Strings

  • Total Accepted: 72584
  • Total Submissions: 292967
  • Difficulty: Medium

 

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.
  • Converting the input string to integer is NOT allowed.
  • You should NOT use internal library such as BigInteger.

 

思路:模拟大数相乘,具体见代码。

 

代码:

 1 class Solution { 2 public: 3     string multiply(string num1, string num2) { 4         int i = 0, j; 5         //去除头0 6         while (i < num1.size() && num1[i] == 0) i++; 7         if (i == num1.size()) return "0"; 8         num1 = num1.substr(i); 9         i = 0;10         while (i < num2.size() && num2[i] == 0) i++;11         if (i == num2.size()) return "0";12         num2 = num2.substr(i);13         vector<int> nums(num1.size()+num2.size(),0);14         for (i = num1.size() - 1; i >= 0; i--) {15             for (j = num2.size() - 1; j >= 0; j--) {16                 int mutil = (num1[i]-0)*(num2[j]-0) + nums[i + j + 1];17                 nums[i + j + 1] = mutil % 10;18                 nums[i + j] += mutil / 10;//这个可以保证不会溢出19             }20         }21         string res = "";22         j = 0;23         while (nums[j] == 0) j++;24         while (j < nums.size()) res += to_string(nums[j++]);25         return res;26     }27 };

 

Leetcode 43. Multiply Strings