九的余数(弃九法)
Posted meditation5201314
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Hexo博客崩了,以后不想动了,QAQ。(博客:empirefree.top)
A*B Problem
时间限制:1000 ms | 内存限制:65535 KB
难度:2
- 描述
-
设计一个程序求出A*B,然后将其结果每一位相加得到C,如果C的位数大于等于2,继续将C的各位数相加,直到结果是个一位数k。
例如:
6*8=48;
4+8=12;
1+2=3;
输出3即可。
- 输入
- 第一行输入一个数N(0<N<=1000000),表示N组测试数据。
随后的N行每行给出两个非负整数m,n(0<=m,n<=10^12)。 - 输出
- 对于每一行数据,输出k。
- 样例输入
-
3 6 8 1234567 67 454 1232
- 样例输出
-
3 4 5
- 来源
- szhhck的水库
- 上传者
- ACM_宋志恒
- 弃九法:若一个数字的各个位数相加能被九整除,则这个数能被九整除。
- 实际应用:
- 123456789 % 9 = sum(每个位数 % 9)
- 所以:这题也是类似,每个位数相加不断%9(虽然题目没说,但是意思差不多) = 直接% 9 ,然后a * b即可.(注意a, b 一开始为0的情况)
-
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再来2道实际例题
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