{"trustable":true,"sections":[{"title":"Description","value":{"format":"MD","content":"Enter two positive integers $x_0, y_0$, and find out the number of $P, Q$ that meet the following conditions:\n\n1. $P,Q$ is a positive integer.\n\n2. It is required that $P, Q$ has $x_0$ as the greatest common divisor, and $y_0$ as the least common multiple.\n\nThe challenge is: to find the number of all possible $P, Q$ that meet these conditions."}},{"title":"Input","value":{"format":"MD","content":"One line with two positive integers $x_0, y_0$."}},{"title":"Output","value":{"format":"MD","content":"One line with a number, indicating the count of $P, Q$ that meet the conditions."}},{"title":"Sample 1","value":{"format":"MD","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 60\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e"}},{"title":"Hint","value":{"format":"MD","content":"$P,Q$ has $4$ types:\n\n1. $3, 60$.\n2. $15, 12$.\n3. $12, 15$.\n4. $60, 3$.\n\nFor the data of $100\\%$, $2 \\le x_0, y_0 \\le {10}^5$.\n\n**【Source of the question】**\n\nNOIP 2001 General Group Second Question"}}]}