A8696. LCM Challenge
编程题
普及/提高-
知识点
题目描述
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than $n$ . Can you help me to find the maximum possible least common multiple of these three integers?
But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than $n$ . Can you help me to find the maximum possible least common multiple of these three integers?
输入格式
The first line contains an integer $n$ ( $1<=n<=10^{6}$ ) — the $n$ mentioned in the statement.
输出格式
Print a single integer — the maximum possible LCM of three not necessarily distinct positive integers that are not greater than $n$ .
输入输出样例
输入 #1
9
输出 #1
504
输入 #2
7
输出 #2
210
说明/提示
The least common multiple of some positive integers is the least positive integer which is multiple for each of them.
The result may become very large, 32-bit integer won't be enough. So using 64-bit integers is recommended.
For the last example, we can chose numbers $7$ , $6$ , $5$ and the LCM of them is $7·6·5=210$ . It is the maximum value we can get.
The result may become very large, 32-bit integer won't be enough. So using 64-bit integers is recommended.
For the last example, we can chose numbers $7$ , $6$ , $5$ and the LCM of them is $7·6·5=210$ . It is the maximum value we can get.