{"trustable":false,"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":"\u003cscript type\u003d\u0027text/x-mathjax-config\u0027\u003eMathJax.Hub.Config({tex2jax: { inlineMath: [[\u0027$\u0027,\u0027$\u0027]] } }); \u003c/script\u003e\n\u003cscript type\u003d\u0027text/javascript\u0027 src\u003d\u0027https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\u0027\u003e\u003c/script\u003e\n\u003cscript type\u003d\u0027text/javascript\u0027\u003esetTimeout(function(){MathJax.Hub.Queue([\u0027Typeset\u0027, MathJax.Hub, \u0027left_view\u0027]);}, 2000);\u003c/script\u003e\n\u003cdiv class\u003d\"panel_content\"\u003e\n Given a number N, you are asked to count the number of integers between A and B inclusive which are relatively prime to N.\n \u003cbr\u003eTwo integers are said to be co-prime or relatively prime if they have no common positive divisors other than 1 or, equivalently, if their greatest common divisor is 1. The number 1 is relatively prime to every integer.\n\u003c/div\u003e\n求(a,b)区间与n互质的数的个数"}},{"title":"Input","value":{"format":"HTML","content":"The first line on input contains T (0 \u0026lt; T \u0026lt;\u003d 100) the number of test cases, each of the next T lines contains three integers A, B, N where (1 \u0026lt;\u003d A \u0026lt;\u003d B \u0026lt;\u003d 10\u003csup\u003e15\u003c/sup\u003e) and (1 \u0026lt;\u003dN \u0026lt;\u003d 10\u003csup\u003e9\u003c/sup\u003e)."}},{"title":"Output","value":{"format":"HTML","content":"For each test case, print the number of integers between A and B inclusive which are relatively prime to N. Follow the output format below."}},{"title":"Sample Input","value":{"format":"HTML","content":"\u003cpre\u003e2\n1 10 2\n3 15 5\u003c/pre\u003e"}},{"title":"Sample Output","value":{"format":"HTML","content":"\u003cpre\u003eCase #1: 5\nCase #2: 10\n\n\n \u003ci style\u003d\"font-size:1px\"\u003e \u003c/i\u003e\u003c/pre\u003e"}},{"title":"Hint","value":{"format":"HTML","content":"\u003cpre\u003eIn the first test case, the five integers in range [1,10] which are relatively prime to 2 are {1,3,5,7,9}. \n \u003c/pre\u003e"}}]}