# Problem D

Mult!

Nora Mainder has a game she plays with her students to help them learn multiplication. She calls out a sequence of numbers and the students have to determine when she names a whole number multiple of the first number. When a student recognizes such a multiple, he or she must call out “Mult!”, ending this round of the game. Then a new round begins with a new initial number. Fortunately her students are very bright and never fail to recognize a multiple, so they all cry out at once—a “multitude” of shouts.

For instance, if she calls out “$8$, $3$, $12$, $6$, $24$,” her students all yell “Mult!” when she reaches $24$ because it is a multiple of the first number, $8$. If she begins a second round of the game with the sequence “$14$, $12$, $9$, $70$,” the class will call out “Mult!” when she reaches $70$, a multiple of the first number, $14$.

Given a sequence of numbers called out by Nora during several rounds of the game, identify which numbers ought to produce a shout of “Mult!”

## Input

The first line of input contains an integer $n$, $2 \leq n \leq 1\, 000$, the length of the number sequence. The following $n$ lines contains the sequence, one number per line. All numbers in the sequence are positive integers less than or equal to $100$. The sequence is guaranteed to contain at least one complete round of the game (but may end with an incomplete round).

## Output

Print all of the sequence elements that will cause the class to shout “Mult!” Each value should be printed on a separate line.

Sample Input 1 | Sample Output 1 |
---|---|

10 8 3 12 6 24 14 12 9 70 5 |
24 70 |

Sample Input 2 | Sample Output 2 |
---|---|

5 3 3 2 5 7 |
3 |