{"trustable":true,"prependHtml":"\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"panel_content\"\u003eAlex has invented a new game for fun. There are $n$ integers at a board and he performs the following moves repeatedly:\u003cbr\u003e\u003cbr\u003e1. He chooses three numbers $a$, $b$ and $c$ written at the board and erases them.\u003cbr\u003e2. He chooses two numbers from the triple $a$, $b$ and $c$ and calculates their greatest common divisor, getting the number $d$ ($d$ maybe $\\gcd(a,b)$, $\\gcd(a,c)$ or $\\gcd(b, c)$).\u003cbr\u003e3. He writes the number $d$ to the board two times.\u003cbr\u003e\u003cbr\u003eIt can be seen that after performing the move $n-2$ times, there will be only two numbers with the same value left on the board. Alex wants to know which numbers can left on the board possibly. Can you help him?\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"There are multiple test cases. The first line of input contains an integer $T$ $(1 \\le T \\le 100)$, indicating the number of test cases. For each test case:\u003cbr\u003e\u003cbr\u003eThe first line contains an integer $n$ $(3 \\le n \\le 500)$ -- the number of integers written on the board. The next line contains $n$ integers: $a_1, a_2, ..., a_n$ $(1 \\le a_i \\le 1000)$ -- the numbers on the board."}},{"title":"Output","value":{"format":"HTML","content":"For each test case, output the numbers which can left on the board in increasing order.\u003cbr\u003e"}},{"title":"Sample","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e3\r\n4\r\n1 2 3 4\r\n4\r\n2 2 2 2\r\n5\r\n5 6 2 3 4\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1 2\r\n2\r\n1 2 3\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}