P18906 [GeeksforGeeks] Number game0303
普及-
题目描述

Given a number n the task is to find the minimum number which is divisible by all numbers from 1 to n. Print the answer modulo (10^{9}+7).

Example 1:
Input:
n = 3
Output:
6
Explanation:
When n = 3 then the minimum number
that is divisible by all the number
till 3 is 6.
Example 2:
Input:
n = 4
Output:
12
Explanation:
When n = 4 then the minimum number
that is divisible by all the number
till 4 is 12.

Your Task:
You don't need to read input or print anything. Your task is to complete the function numGame() which takes an Integer n as input and returns the answer.

Expected Time Complexity: O(n*log(n))
Expected Auxiliary Space: O(1)

Constraints:
1 <= n <= 10^{5}

输入格式

见题面

输出格式

见题面

样例输入
n = 3
样例输出
6