Given an array $A$ of $n$ integers. Calculate:
$$LCM(A_1, A_2,...,A_n) \mod 10^9+7$$
### Input
- The first line contains an integer $n$.
- The second line contains $n$ integers $A_i$.
### Output
- Print the LCM of all elements in $A$ modulo $10^9+7$.
### Constraints
- $1 \le n \le 10^5$.
- $1 \le A_i \le 10^5$.
### Example
Input:
```
4
1 3 4 5
```
Output:
```
60
```
