输入两个代表整数的字符串,不使用标准库,实现大数乘法
//手动乘法
public String multiply(String num1, String num2) {
if(num1.equals("0") || num2.equals("0")) return "0";
String result = "";
for(int i=num1.length()-1; i>=0;i--) {
StringBuilder sb = new StringBuilder();
for(int k=i;k<num1.length()-1;++k) sb.append('0');
int over = 0;
int c1 = num1.charAt(i)-'0';
for(int j = num1.length()-1;j>=0;j--) {
int c2 = num2.charAt(j)-'0';
int x = c1*c2 + over;
int y = x % 10;
sb.insert(0, y);
over = x / 10;
}
if (over>0) {
sb.insert(0, over);
}
String tmp = sb.toString();
result = add(result, tmp);
}
return result;
}
//字符串加法
public String add(String s1, String s2) {
int min = Math.min(s1.length(), s2.length());
int over = 0;
StringBuilder sb = new StringBuilder();
for(int i = 0; i<min;++i) {
int end1 = s1.length() -1 - i;
int end2 = s2.length() -1 - i;
int c1 = s1.charAt(end1) - '0';
int c2 = s2.charAt(end2) - '0';
int x = c1 + c2 + over;
sb.insert(0, x%10);
over = x/10;
}
for(int i=s1.length()-1-min;i>=0;--i) {
int c = s1.charAt(i) - '0';
int x = c + over;
sb.insert(0, x%10);
over = x/10;
}
for(int i=s2.length()-1-min;i>=0;--i) {
int c = s2.charAt(i) - '0';
int x = c + over;
sb.insert(0, x%10);
over = x/10;
}
if (over>0) {
sb.insert(0, over);
}
return sb.toString();
}