【PAT甲级 - C++题解】1058 A+B in Hogwarts

1058 A+B in Hogwarts

题目详情 - 1058 A+B in Hogwarts (pintia.cn)

中文翻译

If you are a fan of Harry Potter, you would know the world of magic has its own currency system – as Hagrid explained it to Harry, “Seventeen silver Sickles to a Galleon and twenty-nine Knuts to a Sickle, it’s easy enough.” Your job is to write a program to compute A+B where A and B are given in the standard form of Galleon.Sickle.Knut (Galleon is an integer in [0,107], Sickle is an integer in [0, 17), and Knut is an integer in [0, 29)).

Input Specification:

Each input file contains one test case which occupies a line with A and B in the standard form, separated by one space.

Output Specification:

For each test case you should output the sum of A and B in one line, with the same format as the input.

Sample Input:

3.2.1 10.16.27
• 1

Sample Output:

14.1.28

题意

这道题是要我们去模拟进制运算，给定两个数，格式是 a.b.c ，c 的范围在 [0,29) ，b 的范围在 [0,17) ，也就是说 c 每达到 29 就会往 b 进一位即二十九进制，而 b 每达到 17 就会往 a 进一位即十七进制。

现在就要我们通过这个进制要求去计算两个给定格式的数之和，并且输出最终结果。

思路

1. 将两个数分别用 a,b,c 输入进来，然后先将对应位相加。
2. 然后处理进位情况，由于进位是从后往前进，所以我们先要计算最后一位即 c 的进位情况，将 c 进的位加到 b 上，然后再处理 b 的进位情况并加到 a 上。
3. 最后输出结果。

代码

#include<bits/stdc++.h>
using namespace std;
int main()
{
    int a1, b1, c1, a2, b2, c2;
    scanf("%d.%d.%d %d.%d.%d", &a1, &b1, &c1, &a2, &b2, &c2);
    a1 += a2, b1 += b2, c1 += c2;
    b1 += c1 / 29, c1 %= 29;
    a1 += b1 / 17, b1 %= 17;
    printf("%d.%d.%d", a1, b1, c1);
    return 0;
}