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leetcode-multiply strings

这道题就是大数运算。

lexi‘s的想法很好,在操作之前先把num1和num2给逆置,方便操作。 

Tenos的文章通过一张图把计算过程直观的展示出来。

image

 

 

 1 class Solution { 2 public: 3     string multiply(string num1, string num2) { 4         int m = num1.size(); int n = num2.size(); 5         int *d = new int[m+n]; 6         fill_n(d,m+n,0);     7         reverse(num1.begin(),num1.end()); 8         reverse(num2.begin(),num2.end()); 9         for (int i = 0; i < m; i++)10         {11             for (int j = 0; j < n; j++)12             {13                 d[i + j] +=(num1[i]-0)*(num2[j]-0);14             }15         }16         string res("");17         for (int i = 0; i < m + n; i++)18         {19             int digit = d[i] % 10;20             int carry = d[i] / 10;21             res.insert(0,1,char(digit+0));//注意在插入char元素时的用法。22             if (i < m + n - 1) d[i + 1] += carry;23         }24         //此时有可能前面的(下标小的)一些元素是0,要去除。25         while (res[0] == 0 && res.length()>1)//是>1,不能是>0,否则结果为0时就删空了。26         {27             res.erase(res.begin());28         }29         return res;30     }31 };

 

Ref:

http://leetcodenotes.wordpress.com/2013/10/20/leetcode-multiply-strings-%E5%A4%A7%E6%95%B4%E6%95%B0%E7%9A%84%E5%AD%97%E7%AC%A6%E4%B8%B2%E4%B9%98%E6%B3%95/

http://www.cnblogs.com/TenosDoIt/p/3735309.html

leetcode-multiply strings