A15665 | Minimum LCM
时间限制1s
内存限制256MB
通过 / 提交0/0
题目描述
You are given an integer $n$ .
Your task is to find two positive (greater than $0$ ) integers $a$ and $b$ such that $a+b=n$ and the least common multiple (LCM) of $a$ and $b$ is the minimum among all possible values of $a$ and $b$ . If there are multiple answers, you can print any of them.
Your task is to find two positive (greater than $0$ ) integers $a$ and $b$ such that $a+b=n$ and the least common multiple (LCM) of $a$ and $b$ is the minimum among all possible values of $a$ and $b$ . If there are multiple answers, you can print any of them.
输入格式
The first line contains a single integer $t$ ( $1 \le t \le 100$ ) — the number of test cases.
The first line of each test case contains a single integer $n$ ( $2 \le n \le 10^9$ ).
The first line of each test case contains a single integer $n$ ( $2 \le n \le 10^9$ ).
输出格式
For each test case, print two positive integers $a$ and $b$ — the answer to the problem. If there are multiple answers, you can print any of them.
输入输出样例
输入 #1
4 2 9 5 10
输出 #1
1 1 3 6 1 4 5 5
In the second example, there are $8$ possible pairs of $a$ and $b$ :
- $a = 1$ , $b = 8$ , $LCM(1, 8) = 8$ ;
- $a = 2$ , $b = 7$ , $LCM(2, 7) = 14$ ;
- $a = 3$ , $b = 6$ , $LCM(3, 6) = 6$ ;
- $a = 4$ , $b = 5$ , $LCM(4, 5) = 20$ ;
- $a = 5$ , $b = 4$ , $LCM(5, 4) = 20$ ;
- $a = 6$ , $b = 3$ , $LCM(6, 3) = 6$ ;
- $a = 7$ , $b = 2$ , $LCM(7, 2) = 14$ ;
- $a = 8$ , $b = 1$ , $LCM(8, 1) = 8$ .
In the third example, there are $5$ possible pairs of $a$ and $b$ :
- $a = 1$ , $b = 4$ , $LCM(1, 4) = 4$ ;
- $a = 2$ , $b = 3$ , $LCM(2, 3) = 6$ ;
- $a = 3$ , $b = 2$ , $LCM(3, 2) = 6$ ;
- $a = 4$ , $b = 1$ , $LCM(4, 1) = 4$ .
- $a = 1$ , $b = 8$ , $LCM(1, 8) = 8$ ;
- $a = 2$ , $b = 7$ , $LCM(2, 7) = 14$ ;
- $a = 3$ , $b = 6$ , $LCM(3, 6) = 6$ ;
- $a = 4$ , $b = 5$ , $LCM(4, 5) = 20$ ;
- $a = 5$ , $b = 4$ , $LCM(5, 4) = 20$ ;
- $a = 6$ , $b = 3$ , $LCM(6, 3) = 6$ ;
- $a = 7$ , $b = 2$ , $LCM(7, 2) = 14$ ;
- $a = 8$ , $b = 1$ , $LCM(8, 1) = 8$ .
In the third example, there are $5$ possible pairs of $a$ and $b$ :
- $a = 1$ , $b = 4$ , $LCM(1, 4) = 4$ ;
- $a = 2$ , $b = 3$ , $LCM(2, 3) = 6$ ;
- $a = 3$ , $b = 2$ , $LCM(3, 2) = 6$ ;
- $a = 4$ , $b = 1$ , $LCM(4, 1) = 4$ .
C++ 编辑器
输入
输出
可保存默认模板；新题优先使用已保存模板。
当前快捷键仅展示，暂不支持修改。
- 撤销
Ctrl / ⌘ + Z - 重做
Ctrl / ⌘ + Y - 查找
Ctrl / ⌘ + F - 全选
Ctrl / ⌘ + A - 复制
Ctrl / ⌘ + C - 剪切
Ctrl / ⌘ + X - 粘贴
Ctrl / ⌘ + V - 自动排版
工具栏排版按钮 - 草稿保存
编辑时自动保存到本机
历史
提交记录
状态说明时间源码
AI
作答助手
你好，我是作答助手。可以问思路、复杂度、样例含义或代码报错原因；不会直接给出完整 AC 代码。
确定要清空代码吗？
提交通过
评测结果：Accepted