[LeetCode-Java]43. Multiply Strings
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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.
解:为了避免溢出,显然应该考虑对应位相乘,求结果的每一位的值最后串在一起。
比如,217*561,个位=7*1,十位=1*1+7*6,百位 = 7*5+1*6+2*1,千位=2*6+1*5,万位=2*5。分别存进数组里面,在考虑低位向高位的进位。转换为字符串之后考虑首位为0的情况。
public class Solution { public String multiply(String num1, String num2) { //字符串反转 num1 = new StringBuilder(num1).reverse().toString(); num2 = new StringBuilder(num2).reverse().toString(); //两数相乘 最大位数为两者位数之和 int[] b = new int[num1.length()+num2.length()]; for (int i = 0;i < num1.length();i++){ for (int j = 0;j < num2.length();j++){ //先获取对应位相乘 不考虑进位 b[i+j] += (num1.charAt(i) - '0') * (num2.charAt(j) - '0'); } } for (int i = 0;i<num1.length() + num2.length();i++){ //对进位进行处理 if (b[i]>9){ b[i+1] += b[i]/10; b[i] %= 10; } } StringBuilder stringBuilder = new StringBuilder(); for (int i = num1.length()+num2.length()-1;i>=0;i--){ stringBuilder.append(b[i]); } //去除首部的0 while (stringBuilder.charAt(0) == '0' && stringBuilder.length()>1) stringBuilder.deleteCharAt(0); return stringBuilder.toString(); }}
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