Problem:


Score : 500 points

Problem Statement

Given are N positive integers A_1,...,A_N.

Consider positive integers B_1, ..., B_N that satisfy the following condition.

Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B_j holds.

Find the minimum possible value of B_1 + ... + B_N for such B_1,...,B_N.

Since the answer can be enormous, print the sum modulo (10^9 +7).

Constraints

1 \leq N \leq 10^4

1 \leq A_i \leq 10^6

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1 ... A_N

Output

Print the minimum possible value of B_1 + ... + B_N for B_1,...,B_N that satisfy the condition, modulo (10^9 +7).

Sample Input 1

3
2 3 4

Sample Output 1

13

Let B_1=6, B_2=4, and B_3=3, and the condition will be satisfied.

Sample Input 2

5
12 12 12 12 12

Sample Output 2

5

We can let all B_i be 1.

Sample Input 3

3
1000000 999999 999998

Sample Output 3

996989508

Print the sum modulo (10^9+7).



Sample input:
3
2 3 4


Sample output:
13

Submission status: Time Limit Exceeded

Solution code:
deltalist=[1,2,2,4,2,4,2,4,6,2,6,4,2,4,6,6,2,6,4,2,6,4,6,8,4,2,4,2,4,14,4,6,2,10,2,6,6,4,6,6,2,10,2,4,2,12,12,4,2,4,6,2,10,6,6,6,2,6,4,2,10,14,4,2,4,14,6,10,2,4,6,8,6,6,4,6,8,4,8,10,2,10,2,6,4,6,8,4,2,4,12,8,4,8,4,6,12,2,18,6,10,6,6,2,6,10,6,6,2,6,6,4,2,12,10,2,4,6,6,2,12,4,6,8,10,8,10,8,6,6,4,8,6,4,8,4,14,10,12,2,10,2,4,2,10,14,4,2,4,14,4,2,4,20,4,8,10,8,4,6,6,14,4,6,6,8,6,12,4,6,2,10,2,6,10,2,10,2,6,18,4,2,4,6,6,8,6,6,22,2,10,8,10,6,6,8,12,4,6,6,2,6,12,10,18,2,4,6,2,6,4,2,4,12,2,6,34,6,6,8,18,10,14,4,2,4,6,8,4,2,6,12,10,2,4,2,4,6,12,12,8,12,6,4,6,8,4,8,4,14,4,6,2,4,6,2,6,10,20,6,4,2,24,4,2,10,12,2,10,8,6,6,6,18,6,4,2,12,10,12,8,16,14,6,4,2,4,2,10,12,6,6,18,2,16,2,22,6,8,6,4,2,4,8,6,10,2,10,14,10,6,12,2,4,2,10,12,2,16,2,6,4,2,10,8,18,24,4,6,8,16,2,4,8,16,2,4,8,6,6,4,12,2,22,6,2,6,4,6,14,6,4,2,6,4,6,12,6,6,14,4,6,12,8,6,4,26,18,10,8,4,6,2,6,22,12,2,16,8,4,12,14,10,2,4,8,6,6,4,2,4,6,8,4,2,6,10,2,10,8,4,14,10,12,2,6,4,2,16,14,4,6,8,6,4,18,8,10,6,6,8,10,12,14,4,6,6,2,28,2,10,8,4,14,4,8,12,6,12,4,6,20,10,2,16,26,4,2,12,6,4,12,6,8,4,8,22,2,4,2,12,28,2,6,6,6,4,6,2,12,4,12,2,10,2,16,2,16,6,20,16,8,4,2,4,2,22,8,12,6,10,2,4,6,2,6,10,2,12,10,2,10,14,6,4,6,8,6,6,16,12,2,4,14,6,4,8,10,8,6,6,22,6,2,10,14,4,6,18,2,10,14,4,2,10,14,4,8,18,4,6,2,4,6,2,12,4,20,22,12,2,4,6,6,2,6,22,2,6,16,6,12,2,6,12,16,2,4,6,14,4,2,18,24,10,6,2,10,2,10,2,10,6,2,10,2,10,6,8,30,10,2,10,8,6,10,18,6,12,12,2,18,6,4,6,6,18,2,10,14,6,4,2,4,24,2,12,6,16,8,6,6,18,16,2,4,6,2,6,6,10,6,12,12,18,2,6,4,18,8,24,4,2,4,6,2,12,4,14,30,10,6,12,14,6,10,12,2,4,6,8,6,10,2,4,14,6,6,4,6,2,10,2,16,12,8,18,4,6,12,2,6,6,6,28,6,14,4,8,10,8,12,18,4,2,4,24,12,6,2,16,6,6,14,10,14,4,30,6,6,6,8,6,4,2,12,6,4,2,6,22,6,2,4,18,2,4,12,2,6,4,26,6,6,4,8,10,32,16,2,6,4,2,4,2,10,14,6,4,8,10,6,20,4,2,6,30,4,8,10,6,6,8,6,12,4,6,2,6,4,6,2,10,2,16,6,20,4,12,14,28,6,20,4,18,8,6,4,6,14,6,6,10,2,10,12,8,10,2,10,8,12,10,24,2,4,8,6,4,8,18,10,6,6,2,6,10,12,2,10,6,6,6,8,6,10,6,2,6,6,6,10,8,24,6,22,2,18,4,8,10,30,8,18,4,2,10,6,2,6,4,18,8,12,18,16,6,2,12,6,10,2,10,2,6,10,14,4,24,2,16,2,10,2,10,20,4,2,4,8,16,6,6,2,12,16,8,4,6,30,2,10,2,6,4,6,6,8,6,4,12,6,8,12,4,14,12,10,24,6,12,6,2,22,8,18,10,6,14,4,2,6,10,8,6,4,6,30,14,10,2,12,10,2,16,2,18,24,18,6,16,18,6,2,18,4,6,2,10,8,10,6,6,8,4,6,2,10,2,12,4,6,6,2,12,4,14,18,4,6,20,4,8,6,4,8,4,14,6,4,14,12,4,2,30,4,24,6,6,12,12,14,6,4,2,4,18,6,12,8,6,4,12,2,12,30,16,2,6,22,14,6,10,12,6,2,4,8,10,6,6,24,14,6,4,8,12,18,10,2,10,2,4,6,20,6,4,14,4,2,4,14,6,12,24,10,6,8,10,2,30,4,6,2,12,4,14,6,34,12,8,6,10,2,4,20,10,8,16,2,10,14,4,2,12,6,16,6,8,4,8,4,6,8,6,6,12,6,4,6,6,8,18,4,20,4,12,2,10,6,2,10,12,2,4,20,6,30,6,4,8,10,12,6,2,28,2,6,4,2,16,12,2,6,10,8,24,12,6,18,6,4,14,6,4,12,8,6,12,4,6,12,6,12,2,16,20,4,2,10,18,8,4,14,4,2,6,22,6,14,6,6,10,6,2,10,2,4,2,22,2,4,6,6,12,6,14,10,12,6,8,4,36,14,12,6,4,6,2,12,6,12,16,2,10,8,22,2,12,6,4,6,18,2,12,6,4,12,8,6,12,4,6,12,6,2,12,12,4,14,6,16,6,2,10,8,18,6,34,2,28,2,22,6,2,10,12,2,6,4,8,22,6,2,10,8,4,6,8,4,12,18,12,20,4,6,6,8,4,2,16,12,2,10,8,10,2,4,6,14,12,22,8,28,2,4,20,4,2,4,14,10,12,2,12,16,2,28,8,22,8,4,6,6,14,4,8,12,6,6,4,20,4,18,2,12,6,4,6,14,18,10,8,10,32,6,10,6,6,2,6,16,6,2,12,6,28,2,10,8,16,6,8,6,10,24,20,10,2,10,2,12,4,6,20,4,2,12,18,10,2,10,2,4,20,16,26,4,8,6,4,12,6,8,12,12,6,4,8,22,2,16,14,10,6,12,12,14,6,4,20,4,12,6,2,6,6,16,8,22,2,28,8,6,4,20,4,12,24,20,4,8,10,2,16,2,12,12,34,2,4,6,12,6,6,8,6,4,2,6,24,4,20,10,6,6,14,4,6,6,2,12,6,10,2,10,6,20,4,26,4,2,6,22,2,24,4,6,2,4,6,24,6,8,4,2,34,6,8,16,12,2,10,2,10,6,8,4,8,12,22,6,14,4,26,4,2,12,10,8,4,8,12,4,14,6,16,6,8,4,6,6,8,6,10,12,2,6,6,16,8,6,6,12,10,2,6,18,4,6,6,6,12,18,8,6,10,8,18,4,14,6,18,10,8,10,12,2,6,12,12,36,4,6,8,4,6,2,4,18,12,6,8,6,6,4,18,2,4,2,24,4,6,6,14,30,6,4,6,12,6,20,4,8,4,8,6,6,4,30,2,10,12,8,10,8,24,6,12,4,14,4,6,2,28,14,16,2,12,6,4,20,10,6,6,6,8,10,12,14,10,14,16,14,10,14,6,16,6,8,6,16,20,10,2,6,4,2,4,12,2,10,2,6,22,6,2,4,18,8,10,8,22,2,10,18,14,4,2,4,18,2,4,6,8,10,2,30,4,30,2,10,2,18,4,18,6,14,10,2,4,20,36,6,4,6,14,4,20,10,14,22,6,2,30,12,10,18,2,4,14,6,22,18,2,12,6,4,8,4,8,6,10,2,12,18,10,14,16,14,4,6,6,2,6,4,2,28,2,28,6,2,4,6,14,4,12,14,16,14,4,6,8,6,4,6,6,6,8,4,8,4,14,16,8,6,4,12,8,16,2,10,8,4,6,26,6,10,8,4,6,12,14,30,4,14,22,8,12,4,6,8,10,6,14,10,6,2,10,12,12,14,6,6,18,10,6,8,18,4,6,2,6,10,2,10,8,6,6,10,2,18,10,2,12,4,6,8,10,12,14,12,4,8,10,6,6,20,4,14,16,14,10,8,10,12,2,18,6,12,10,12,2,4,2,12,6,4,8,4,44,4,2,4,2,10,12,6,6,14,4,6,6,6,8,6,36,18,4,6,2,12,6,6,6,4,14,22,12,2,18,10,6,26,24,4,2,4,2,4,14,4,6,6,8,16,12,2,42,4,2,4,24,6,6,2,18,4,14,6,28,18,14,6,10,12,2,6,12,30,6,4,6,6,14,4,2,24,4,6,6,26,10,18,6,8,6,6,30,4,12,12,2,16,2,6,4,12,18,2,6,4,26,12,6,12,4,24,24,12,6,2,12,28,8,4,6,12,2,18,6,4,6,6,20,16,2,6,6,18,10,6,2,4,8,6,6,24,16,6,8,10,6,14,22,8,16,6,2,12,4,2,22,8,18,34,2,6,18,4,6,6,8,10,8,18,6,4,2,4,8,16,2,12,12,6,18,4,6,6,6,2,6,12,10,20,12,18,4,6,2,16,2,10,14,4,30,2,10,12,2,24,6,16,8,10,2,12,22,6,2,16,20,10,2,12,12,18,10,12,6,2,10,2,6,10,18,2,12,6,4,6,2,24,28,2,4,2,10,2,16,12,8,22,2,6,4,2,10,6,20,12,10,8,12,6,6,6,4,18,2,4,12,18,2,12,6,4,2,16,12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16,24,2,4,24,30,2,6,28,20,12,10,2,6,6,28,30,2,4,12,8,22,8,4,2,6,12,22,20,18,10,6,42,2,10,2,16,2,12,10,30,14,16,14,16,26,24,18,16,20,4,36,2,22,6,14,6,36,6,10,18,2,18,4,2,36,24,6,28,54,2,4,2,12,16,20,10,6,8,12,16,14,18,18,4,30,6,2,12,4,24,18,12,12,6,12,8,18,6,4,30,6,50,36,10,8,34,12,14,6,36,24,36,28,14,10,6,12,8,4,2,6,18,4,2,4,6,8,18,34,18,8,30,22,18,24,18,6,14,6,4,8,48,4,8,10,12,2,4,6,20,10,20,16,14,18,6,4,12,20,18,6,10,32,4,24,20,12,10,12,8,4,8,6,22,2,42,6,10,2,18,4,14,60,6,10,18,6,6,24,14,18,28,14,10,2,4,20,12,4,6,8,12,18,30,16,14,4,6,24,12,66,12,36,6,8,28,18,30,2,40,8,6,24,10,14,6,22,14,4,24,2,16,12,18,2,12,4,6,8,60,10,8,18,6,6,12,40,2,28,2,10,8,42,4,74,6,4,18,14,4,12,2,10,2,18,6,36,4,6,44,16,6,18,2,12,10,2,10,6,2,16,6,14,4,8,34,26,12,6,12,22,38,4,36,2,12,28,6,2,12,6,4,6,6,6,8,10,12,14,6,10,2,30,12,16,12,38,12,16,2,28,14,6,4,2,6,12,18,12,48,4,14,10,6,30,8,22,24,12,2,12,6,4,14,4,6,12,8,4,26,12,42,6,16,6,8,24,10,8,4,6,18,6,14,6,10,30,8,18,4,6,18,2,28,2,10,42,6,6,14,6,6,34,8,18,4,6,18,6,6,2,18,10,2,10,6,2,22,20,10,32,28,38,18,4,2,16,32,10,2,18,6,6,16,18,6,14,10,12,20,10,12,6,56,4,14,10,2,6,34,14,4,6,2,10,30,8,52,32,6,4,12,26,22,8,28,6,18,30,2,16,8,30,4,8,28,20,16,14,10,14,6,6,6,12,10,12,6,14,16,8,12,10,18,6,24,2,12,6,16,36,14,16,2,16,26,6,10,42,6,20,6,28,6,12,14,10,14,22,30,8,10,2,12,6,4,18,30,2,12,18,18,22,2,10,6,14,16,14,4,6,38,6,6,4,6,14,10,12,2,16,26,16,2,12,24,4,12,18,20,18,22,8,12,30,16,6,18,12,24,24,12,8,6,52,32,6,6,30,10,14,4,2,4,14,18,4,8,16,26,28,18,8,4,20,10,18,8,24,16,26,16,2,40,20,10,12,8,36,6,6,12,28,8,6,4,14,6,4,32,24,30,6,28,2,6,18,10,14,22,6,12,8,24,4,2,4,6,8,10,20,12,4,44,10,2,12,18,24,18,10,8,22,6,12,8,22,32,28,20,4,18,8,22,6,20,16,6,8,16,14,6,64,2,18,4,2,4,12,2,40,6,6,6,42,2,4,2,12,46,2,12,10,2,28,2,10,24,12,8,6,30,10,18,6,6,20,18,6,4,6,30,2,4,6,14,4,26,16,12,42,6,2,16,12,8,4,2,18,10,30,60,6,6,36,8,36,4,12,2,16,2,40,8,4,12,14,6,6,22,12,26,4,8,10,18,18,2,12,6,6,4,20,4,2,10,48,6,26,24,6,6,24,4,30,54,6,24,8,4,8,22,8,30,12,4,20,6,4,6,6,2,28,48,26,10,8,48,18,30,16,56,10,14,10,26,10,30,12,30,12,6,12,20,22,6,20,12,10,2,34,6,6,32,6,4,2,16,12,20,6,10,2,10,14,6,22,8,12,12,18,10,20,6,16,26,28,14,6,12,12,42,6,4,6,12,2,66,30,18,6,4,6,24,12,2,10,30,2,16,42,2,6,12,10,20,18,4,38,10,2,28,20,6,12,28,20,12,4,6,18,14,16,14,18,4,6,2,6,6,58,2,18,18,4,20,10,20,46,2,28,24,6,8,6,6,4,8,6,4,6,2,12,12,30,16,20,22,6,12,2,18,4,18,2,4,2,4,24,32,18,10,30,2,4,6,8,6,36,10,38,10,20,12,10,14,6,22,6,6,14,4,20,10,2,24,6,4,6,36,74,10,6,32,12,6,10,14,10,24,2,10,8,10,26,4,2,10,44,10,6,12,12,6,8,6,6,60,12,6,4,2,4,2,10,44,28,18,18,6,14,10,32,18,4,8,30,4,14,22,14,6,22,8,22,32,4,2,4,6,8,24,10,6,14,6,6,16,48,2,12,18,4,6,18,42,2,10,6,2,12,22,18,8,18,12,22,8,34,6,30,2,10,12,20,10,6,30,48,26,4,2,22,2,4,42,12,6,6,8,36,6,4,2,18,10,14,12,6,28,26,30,10,6,20,4,30,26,42,6,4,20,16,6,6,2,12,18,12,30,4,2,4,14,4,6,2,10,8,6,10,6,2,10,6,2,24,4,2,12,40,2,30,4,6,30,6,20,54,4,2,28,20,4,2,6,28,20,4,18,2,16,2,18,34,12,6,8,6,4,6,14,4,2,16,8,4,12,26,4,6,8,10,12,8,6,6,22,2,4,24,6,6,8,10,8,48,10,6,14,16,8,10,2,16,2,22,8,10,12,14,22,20,12,30,16,20,36,4,6,14,10,36,6,32,22,50,4,14,10,6,12,2,10,6,20,6,6,28,6,18,8,18,16,6,8,6,4,26,16,2,6,4,2,54,6,4,32,4,6,2,16,30,2,22,6,2,34,6,2,10,38,4,8,22,26,12,12,4,50,6,18,22,20,10,8,6,4,20,12,4,12,2,12,30,16,2,10,12,8,10,2,6,18,12,18,22,8,34,20,10,6,2,60,22,20,6,22,14,10,6,8,22,2,10,6,2,10,12,20,10,2,16,14,6,12,6,22,2,6,16,8,6,22,2,12,30,30,6,30,12,6,12,10,32,16,36,18,2,46,8,6,4,2,34,6,2,6,16,6,8,6,6,24,6,12,6,6,10,44,6,10,30,36,2,6,10,2,12,28,12,6,6,6,20,28,24,18,14,4,6,18,32,4,26,4,6,30,6,32,10,8,4,6,8,16,14,6,6,28,2,4,8,42,24,12,28,2,12,12,4,14,16,14,10,6,2,10,2,6,4,26,6,16,18,24,12,14,12,28,12,30,2,6,4,12,6,14,10,14,16,8,16,12,14,18,16,36,8,10,2,16,8,12,18,34,38,10,14,4,2,12,10,42,8,6,36,34,26,10,6,14,6,22,2,16,12,68,4,26,10,8,34,6,12,2,10,6,6,8,16,14,22,14,6,6,4,14,10,6,20,4,2,10,12,8,10,12,8,24,18,10,8,10,12,6,20,10,26,30,4,2,12,22,6,2,16,50,24,30,22,14,46,6,2,12,10,14,6,6,4,14,24,10,20,6,6,16,30,12,50,18,10,32,30,28,30,2,28,8,22,2,6,6,16,12,2,28,6,30,2,12,10,8,22,12,8,6,4,18,38,16,24,20,36,4,26,6,10,12,18,12,2,10,18,6,32,4,8,12,4,12,14,4,26,16,12,6,14,10,18,20,4,14,4,6,14,22,26,12,10,2,4,20,4,6,12,14,24,16,24,2,12,12,4,6,18,8,12,10,8,4,20,24,4,8,30,4,8,6,22,8,12,22,2,16,2,16,20,10,6,20,48,6,12,4,26,10,14,16,2,30,40,8,10,8,4,26,22,18,12,2,6,22,20,4,8,40,26,4,8,22,12,14,12,4,18,8,28,12,2,52,6,14,4,2,12,30,40,2,4,12,18,26,4,14,10,2,10,14,4,6,14,16,6,6,24,26,10,24,6,38,4,26,4,6,2,34,6,2,22,14,6,4,24,6,12,12,30,12,6,8,12,18,4,8,4,6,48,12,38,4,12,8,10,2,6,18,4,20,22,14,54,12,4,2,12,6,10,12,2,6,12,18,6,10,38,40,30,2,10,8,6,10,12,12,12,44,12,12,12,10,20,30,10,14,10,20,12,22,26,30,10,2,4,6,14,4,12,18,12,2,6,10,6,20,6,18,12,4,18,6,2,18,10,2,22,6,2,10,12,2,10,14,16,6,12,30,2,6,4,18,6,20,10,30,14,12,10,6,2,10,18,30,14,4,14,10,6,2,12,18,10,12,32,6,4,8,10,12,8,28,12,2,6,22,48,12,2,30,10,6,14,10,30,6,8,16,38,12,18,6,6,36,4,14,4,12,6,12,8,18,4,8,12,16,12,2,16,24,8,12,22,6,2,10,2,4,24,2,34,2,22,6,2,30,4,8,6,36,6,10,8,6,4,6,20,30,4,2,18,4,12,26,4,8,12,40,24,20,4,18,12,2,10,14,12,12,18,4,18,20,66,6,6,24,4,6,14,22,18,12,2,40,2,24,10,14,10,2,28,2,18,6,10,2,4,8,18,30,22,18,8,10,26,40,24,2,4,6,32,10,2,34,6,14,10,12,2,10,18,20,28,36,6,8,10,14,30,6,34,26,12,12,10,36,30,2,22,6,2,12,12,10,14,16,38,6,4,18,38,46,6,24,8,12,10,26,18,16,14,6,4,12,2,6,10,2,10,24,36,12,8,4,6,14,24,12,30,24,4,14,10,6,2,12,6,6,16,14,16,8,10,6,18,6,2,12,6,6,18,10,8,52,2,4,50,4,2,24,10,2,12,12,30,16,2,16,12,12,2,4,6,6,8,4,32,4,30,2,10,2,6,6,6,10,12,6,32,4,18,12,6,44,18,6,24,6,6,6,18,40,2,4,14,4,6,26,10,20,24,12,4,6,32,6,6,6,24,30,4,12,12,2,28,2,28,18,20,10,14,6,12,10,20,10,30,8,4,54,6,8,12,4,20,10,12,14,16,2,6,34,2,24,10,14,18,4,20,6,52,2,10,6,8,10,20,30,10,6,18,20,22,18,8,22,2,4,2,42,18,34,8,28,8,6,4,14,6,6,6,12,12,24,16,6,2,10,30,6,14,16,2,4,26,30,10,12,6,50,22,18,6,26,4,30,26,10,14,18,6,34,30,2,24,10,12,18,20,40,2,18,16,8,12,6,24,6,4,14,12,30,24,28,6,2,4,6,38,4,2,24,10,60,6,8,18,28,24,2,16,2,18,42,10,12,26,4,24,14,30,12,10,6,12,18,12,20,16,26,4,44,30,6,4,6,14,6,4,8,4,14,4,2,4,2,12,22,36,2,6,22,2,22,6,8,6,10,6,30,8,6,4,36,14,6,4,2,10,30,14,10,14,22,8,6,10,6,12,20,10,20,28,30,12,6,2,24,4,36,6,8,16,14,16,6,24,24,2,22,18,12,2,10,8,12,24,10,14,16,26,24,4,8,22,6,24,2,30,10,6,8,42,4,8,6,12,12,6,4,8,10,32,12,10,8,22,14,6,4,6,18,8,4,6,24,20,16,18,14,10,38,10,12,2,6,4,14,84,40,18,8,30,10,30,20,12,12,42,10,6,18,12,2,28,20,18,40,20,22,2,10,26,10,14,6,12,10,14,6,18,22,30,12,32,6,22,6,36,14,16,8,16,6,8,18,10,12,18,2,12,46,8,22,8,4,2,6,22,20,36,10,2,22,6,2,10,2,42,28,2,24,4,20,36,6,4,2,10,2,10,36,6,36,12,6,6,14,12,12,6,6,4,14,42,4,2,12,22,14,12,10,12,20,22,8,12,4,2,12,10,8,54,4,14,6,22,18,2,4,8,16,6,8,12,24,6,4,42,8,10,12,2,22,14,16,30,8,6,6,4,6,18,38,28,12,2,6,6,64,2,24,6,22,6,2,12,18,4,38,36,4,2,4,20,10,2,4,14,16,14,4,20,12,4,24,2,4,14,40,2,28,20,16,2,4,8,12,18,12,10,50,36,4,66,12,2,4,12,14,10,8,12,10,44,6,4,6,38,18,10,8,6,6,12,18,10,12,2,4,20,4,32,6,22,8,28,6,8,82,6,14,30,6,4,8,10,8,4,20,6,10,8,12,24,6,4,18,6,32,18,10,2,18,16,8,6,30,22,2,10,2,4,2,12,30,22,6,8,4,2,24,22,2,16,20,42,40,2,36,34,6,6,6,2,12,6,4,6,30,12,2,18,30,12,6,22,36,6,14,10,20,10,12,24,8,28,2,6,22,18,32,12,30,12,46,2,6,16,6,8,4,8,4,6,8,16,8,6,10,6,8,6,10,20,4,20,10,6,42,2,22,20,4,6,18,6,50,22,12,2,4,26,16,8,4,56,30,6,6,18,4,30,2,4,6,8,16,12,44,4,6,14,30,6,16,18,12,12,8,22,26,4,32,6,34,24,2,12,10,6,24,8,12,28,20,4,14,16,14,4,12,8,12,4,6,6,20,10,2,16,24,26,4,12,18,8,18,10,12,24,6,14,6,12,18,22,2,16,8,12,48,4,6,26,18,16,14,18,4,6,2,10,2,4,26,24,6,18,30,12,18,6,6,4,2,28,12,2,6,10,6,26,18,10,14,6,46,6,12,18,42,6,12,8,34,6,20,10,2,10,14,10,20,4,2,12,12,4,2,18,16,8,18,34,14,10,2,10,8,12,10,8,12,22,12,6,18,12,2,6,46,24,2,4,8,18,4,18,2,6,24,10,6,14,10,8,6,12,4,6,8,4,26,16,48,2,6,10,2,16,24,42,6,14,40,8,22,8,42,24,6,10,18,18,14,10,8,18,28,6,6,8,24,28,38,16,26,54,4,6,6,12,30,18,42,2,16,12,30,8,4,8,6,10,14,12,18,10,6,2,24,16,2,18,18,10,42,14,4,2,12,6,6,28,8,18,16,6,2,22,14,10,42,8,22,14,6,24,6,12,10,30,8,22,6,2,4,8,16,36,6,2,10,20,12,18,16,6,26,4,20,6,40,8,12,10,2,16,24,8,28,14,12,16,32,18,30,12,10,18,20,4,48,2,58,8,10,2,28,14,16,12,2,4,14,6,6,24,4,30,8,4,18,26,10,2,28,26,24,4,18,2,42,6,12,6,16,8,16,32,24,6,4,8,16,6,14,6,24,4,6,2,30,4,14,22,8,4,8,10,12,8,12,6,4,18,2,12,10,14,6,10,84,14,12,6,10,2,30,28,20,18,4,6,2,4,14,6,10,6,2,18,10,2,10,6,6,6,8,66,6,18,10,6,8,12,6,18,12,30,4,6,32,6,6,30,34,12,14,28,6,30,2,10,32,10,30,6,2,4,24,6,30,8,6,6,16,20,18,4,6,6,14,6,6,4,6,12,36,2,18,24,10,6,14,16,6,6,32,12,40,14,16,14,24,6,22,18,2,18,6,30,10,6,12,20,10,6,20,12,24,4,12,2,12,10,8,12,30,10,14,6,10,8,10,26,34,6,50,4,2,10,6,12,8,18,4,12,8,6,4,12,6,2,6,12,12,10,2,28,36,24,2,16,12,12,26,4,36,12,18,14,4,2,12,28,8,40,2,4,8,22,24,12,8,4,8,12,52,8,18,10,12,30,12,6,14,10,26,30,12,6,16,14,40,24,8,10,24,14,4,2,4,24,12,14,6,18,6,16,20,18,10,26,12,4,26,24,4,14,16,32,28,2,4,8,6,16,8,6,6,16,14,4,32,4,18,26,30,4,6,24,6,14,16,12,2,12,34,14,16,32,22,6,30,32,4,6,14,60,16,2,12,28,2,4,14,10,18,18,6,14,6,6,24,18,16,6,14,16,14,12,12,16,2,4,14,6,48,22,18,2,10,6,30,8,4,6,2,22,26,6,4,2,10,2,16,2,24,6,22,2,24,30,6,4,14,18,12,48,10,2,10,8,4,20,18,36,6,4,24,8,10,2,6,6,28,18,24,18,2,4,14,6,16,14,4,8,22,6,6,14,6,16,14,28,6,12,14,28,2,28,36,2,28,20,6,46,8,10,6,30,30,24,2,10,2,6,16,6,8,4,6,12,32,12,4,14,10,42,18,8,10,2,16,6,14,4,2,18,12,18,10,12,6,8,22,14,6,18,10,36,8,10,32,48,6,16,6,18,14,16,2,24,4,2,12,10,8,30,18,36,6,10,24,14,4,6,2,4,14,10,12,2,42,4,6,8,22,8,10,12,6,32,6,36,4,2,22,30,26,24,18,10,12,12,8,28,2,16,12,2,6,10,2,40,14,36,24,18,22,8,30,6,10,2,12,10,2,4,12,54,14,6,6,22,12,6,2,16,6,14,12,12,10,6,2,4,6,2,10,2,18,6,4,2,10,38,6,12,28,12,8,6,6,28,2,10,8,6,10,14,12,10,12,36,6,6,14,10,48,30,6,6,20,10,6,8,12,18,10,12,2,12,18,12,6,28,12,2,10,18,14,10,14,4,2,64,2,10,2,6,36,16,12,2,10,18,18,8,10,2,40,2,6,6,28,6,30,14,6,30,4,12,6,18,6,30,8,6,24,18,24,24,4,18,12,8,4,6,14,28,26,16,14,10,2,12,10,56,6,6,4,18,2,28,6,2,28,20,6,6,10,20,34,6,12,8,4,14,4,36,12,8,10,14,6,4,6,12,14,6,18,16,6,14,6,18,16,8,10,32,16,20,12,18,18,4,12,6,30,18,20,22,2,28,12,6,12,42,2,4,14,40,8,22,8,12,12,10,36,12,2,10,8,22,14,4,12,38,6,22,14,6,4,36,44,10,20,24,10,14,22,6,2,18,4]

prime=[0]*78498
prime[0]=2
for i in range(78497):
    prime[i+1]=prime[i]+deltalist[i]
plen=78498

maxls=[0]*plen
N=int(input())
ls=[0]*N
A=input().split(" ")
A=[int(s) for s in A]

for i in range(N):
    ls[i]=[0]*plen
    m=A[i]
    pidx=0
    pcnt=0
    while m>1:
        if m%prime[pidx]==0:
            m=m//prime[pidx]
            ls[i][pidx]+=1
            pcnt+=1
            if maxls[pidx]<pcnt:
                maxls[pidx]=pcnt
        else:
            pidx+=1
            pcnt=0
            
ans=0
for i in range(N):
    val=1
    for j in range(plen):
        val*=prime[j]**(maxls[j]-ls[i][j])
    ans+=val
    ans%=10**9+7
print(ans)