{"trustable":false,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\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 type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"题意","value":{"format":"HTML","content":"给你一个数组 找出这个数组的公约数的数量"}},{"title":"原题面","value":{"format":"HTML","content":"给你一个由n个整数组成的数组a。\n\n你的任务是找出这样的正整数x有多少,使x除以数组中的每个数字。 换句话说,您必须找到数组中所有元素的公约数的数量。\n\n例如,如果数组a为[2,4,6,2,10],则1和2将每个数字除以数组(因此该测试的答案为2)。"}},{"title":"Input","value":{"format":"HTML","content":"输入的第一行包含一个整数n(1≤n≤4⋅10^5) - a中的元素数。\n\n输入的第二行包含n个整数a1,a2,...,a(1≤ai≤10^12),其中ai是a的第i个元素。"}},{"title":"Output","value":{"format":"HTML","content":"打印一个整数 - 这样的正整数x的数量,使得x除以给定数组中的每个数字(换句话说,答案是数组中所有元素的公约数的数量)。"}},{"title":"Examples","value":{"format":"HTML","content":"\u003cdiv class\u003d\"sample-test\"\u003e\n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e5\n1 2 3 4 5\n\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"output\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Output\n \u003c/div\u003e\n \u003cpre\u003e1\n\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e6\n6 90 12 18 30 18\n\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"output\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Output\n \u003c/div\u003e\n \u003cpre\u003e4\n\u003c/pre\u003e\n \u003c/div\u003e\n\u003c/div\u003e"}}]}