#4085. 高精度加法

高精度加法

题目描述

输入两个整数a和b,输出这两个整数的和。a和b都不超过100位。 算法描述   由于a和b都比较大,所以不能直接使用语言中的标准数据类型来存储。对于这种问 题,一般使用数组来处理。   定义一个数组A,A[0]用于存储a的个位,A[1]用于存储a的十位,依此类推。同样可 以用一个数组B来存储b。   计算c = a + b的时候,首先将A[0]与B[0]相加,如果有进位产生,则把进位(即和的十位数)存入r ,把和的个位数存入C[0],即C[0]等于(A[0]+B[0])%10。然后计算A[1]与B[1]相加,这 时还应将低位进上来的值r也加起来,即C[1]应该是A[1]、B[1]和r三个数的和.如果又 有进位产生,则仍可将新的进位存入到r中,和的个位存到C[1]中。依此类推,即可求出 C的所有位。   最后将C输出即可。 输入格式   输入包括两行,第一行为一个非负整数a,第二行为一个非负整数b。两个整数都不 超过100位,两数的最高位都不是0。 输出格式   输出一行,表示a + b的值。 样例输入 20100122201001221234567890 2010012220100122 样例输出 20100122203011233454668012 代码: import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner sc = new Scanner(System.in); String a = sc.nextLine(); String b = sc.nextLine(); StringBuffer sb1 = new StringBuffer(); StringBuffer sb2 = new StringBuffer(); sb1.append(a); sb1.reverse(); a = sb1.toString(); sb2.append(b); sb2.reverse(); b = sb2.toString(); String[] A = a.split(""); String[] B = b.split(""); int r = 0; if (A.length >= B.length) { for (int i = 0; i < A.length; i++) { if (i 9) { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); A[i] = (temp % 10 + r) + ""; r = temp / 10; } else { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); A[i] = (temp+r) + ""; r = 0; } } else { int temp = Integer.parseInt(A[i]) + r; A[i] = temp + ""; r = 0; } } if (r != 0) System.out.print(r); for (int i = A.length - 1; i >= 0; i--) { System.out.print(A[i]); } } else { for (int i = 0; i < B.length; i++) { if (i 9) { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); B[i] = (temp % 10 + r) + ""; r = temp / 10; } else { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); B[i] = (temp+r) + ""; r = 0; } } else { int temp = Integer.parseInt(B[i]) + r; B[i] = temp + ""; r = 0; } } for (int i = B.length - 1; i >= 0; i--) { System.out.print(B[i]); } } } }

输入格式

输入包括两行,第一行为一个非负整数a,第二行为一个非负整数b。两个整数都不 超过100位,两数的最高位都不是0。 输出格式   输出一行,表示a + b的值。 样例输入 20100122201001221234567890 2010012220100122 样例输出 20100122203011233454668012 代码: import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner sc = new Scanner(System.in); String a = sc.nextLine(); String b = sc.nextLine(); StringBuffer sb1 = new StringBuffer(); StringBuffer sb2 = new StringBuffer(); sb1.append(a); sb1.reverse(); a = sb1.toString(); sb2.append(b); sb2.reverse(); b = sb2.toString(); String[] A = a.split(""); String[] B = b.split(""); int r = 0; if (A.length >= B.length) { for (int i = 0; i < A.length; i++) { if (i 9) { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); A[i] = (temp % 10 + r) + ""; r = temp / 10; } else { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); A[i] = (temp+r) + ""; r = 0; } } else { int temp = Integer.parseInt(A[i]) + r; A[i] = temp + ""; r = 0; } } if (r != 0) System.out.print(r); for (int i = A.length - 1; i >= 0; i--) { System.out.print(A[i]); } } else { for (int i = 0; i < B.length; i++) { if (i 9) { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); B[i] = (temp % 10 + r) + ""; r = temp / 10; } else { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); B[i] = (temp+r) + ""; r = 0; } } else { int temp = Integer.parseInt(B[i]) + r; B[i] = temp + ""; r = 0; } } for (int i = B.length - 1; i >= 0; i--) { System.out.print(B[i]); } } } }

输出格式

输出一行,表示a + b的值。 样例输入 20100122201001221234567890 2010012220100122 样例输出 20100122203011233454668012 代码: import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner sc = new Scanner(System.in); String a = sc.nextLine(); String b = sc.nextLine(); StringBuffer sb1 = new StringBuffer(); StringBuffer sb2 = new StringBuffer(); sb1.append(a); sb1.reverse(); a = sb1.toString(); sb2.append(b); sb2.reverse(); b = sb2.toString(); String[] A = a.split(""); String[] B = b.split(""); int r = 0; if (A.length >= B.length) { for (int i = 0; i < A.length; i++) { if (i 9) { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); A[i] = (temp % 10 + r) + ""; r = temp / 10; } else { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); A[i] = (temp+r) + ""; r = 0; } } else { int temp = Integer.parseInt(A[i]) + r; A[i] = temp + ""; r = 0; } } if (r != 0) System.out.print(r); for (int i = A.length - 1; i >= 0; i--) { System.out.print(A[i]); } } else { for (int i = 0; i < B.length; i++) { if (i 9) { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); B[i] = (temp % 10 + r) + ""; r = temp / 10; } else { int temp = Integer.parseInt(A[i]) + Integer.parseInt(B[i]); B[i] = (temp+r) + ""; r = 0; } } else { int temp = Integer.parseInt(B[i]) + r; B[i] = temp + ""; r = 0; } } for (int i = B.length - 1; i >= 0; i--) { System.out.print(B[i]); } } } }
20100122201001221234567890
2010012220100122
样例输出
20100122203011233454668012


代码:



import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
       Scanner sc = new Scanner(System.in);
       String a = sc.nextLine();
       String b = sc.nextLine();
       StringBuffer sb1 = new StringBuffer();
       StringBuffer sb2 = new StringBuffer();
       sb1.append(a);
       sb1.reverse();
       a = sb1.toString();
       sb2.append(b);
       sb2.reverse();
       b = sb2.toString();
       String[] A = a.split("");
       String[] B = b.split("");
       int r = 0;
       if (A.length >= B.length) {
          for (int i = 0; i < A.length; i++) {
              if (i  9) {
                    int temp = Integer.parseInt(A[i]) +
Integer.parseInt(B[i]);
                    A[i] = (temp % 10 + r) + "";
                    r = temp / 10;
                 } else {
                    int temp = Integer.parseInt(A[i]) +
Integer.parseInt(B[i]);
                    A[i] = (temp+r) + "";
                    r = 0;
                 }
              } else {
                 int temp = Integer.parseInt(A[i]) + r;
                 A[i] = temp + "";
                 r = 0;
              }
          }
          if (r != 0)
              System.out.print(r);
          for (int i = A.length - 1; i >= 0; i--) {

              System.out.print(A[i]);
          }
       } else {

          for (int i = 0; i < B.length; i++) {
              if (i  9) {
                    int temp = Integer.parseInt(A[i]) +
Integer.parseInt(B[i]);
                    B[i] = (temp % 10 + r) + "";
                    r = temp / 10;
                 } else {
                    int temp = Integer.parseInt(A[i]) +
Integer.parseInt(B[i]);
                    B[i] = (temp+r) + "";
                    r = 0;
                 }
              } else {
                 int temp = Integer.parseInt(B[i]) + r;
                 B[i] = temp + "";
                 r = 0;
              }
          }

          for (int i = B.length - 1; i >= 0; i--) {
              System.out.print(B[i]);
          }

       }

    }

}
20100122203011233454668012


代码:



import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
       Scanner sc = new Scanner(System.in);
       String a = sc.nextLine();
       String b = sc.nextLine();
       StringBuffer sb1 = new StringBuffer();
       StringBuffer sb2 = new StringBuffer();
       sb1.append(a);
       sb1.reverse();
       a = sb1.toString();
       sb2.append(b);
       sb2.reverse();
       b = sb2.toString();
       String[] A = a.split("");
       String[] B = b.split("");
       int r = 0;
       if (A.length >= B.length) {
          for (int i = 0; i < A.length; i++) {
              if (i  9) {
                    int temp = Integer.parseInt(A[i]) +
Integer.parseInt(B[i]);
                    A[i] = (temp % 10 + r) + "";
                    r = temp / 10;
                 } else {
                    int temp = Integer.parseInt(A[i]) +
Integer.parseInt(B[i]);
                    A[i] = (temp+r) + "";
                    r = 0;
                 }
              } else {
                 int temp = Integer.parseInt(A[i]) + r;
                 A[i] = temp + "";
                 r = 0;
              }
          }
          if (r != 0)
              System.out.print(r);
          for (int i = A.length - 1; i >= 0; i--) {

              System.out.print(A[i]);
          }
       } else {

          for (int i = 0; i < B.length; i++) {
              if (i  9) {
                    int temp = Integer.parseInt(A[i]) +
Integer.parseInt(B[i]);
                    B[i] = (temp % 10 + r) + "";
                    r = temp / 10;
                 } else {
                    int temp = Integer.parseInt(A[i]) +
Integer.parseInt(B[i]);
                    B[i] = (temp+r) + "";
                    r = 0;
                 }
              } else {
                 int temp = Integer.parseInt(B[i]) + r;
                 B[i] = temp + "";
                 r = 0;
              }
          }

          for (int i = B.length - 1; i >= 0; i--) {
              System.out.print(B[i]);
          }

       }

    }

}

来源

蓝桥杯 基础训练