A11846 | Finite or not?
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内存限制256MB
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题目描述
You are given several queries. Each query consists of three integers $p$ , $q$ and $b$ . You need to answer whether the result of $p/q$ in notation with base $b$ is a finite fraction.
A fraction in notation with base $b$ is finite if it contains finite number of numerals after the decimal point. It is also possible that a fraction has zero numerals after the decimal point.
A fraction in notation with base $b$ is finite if it contains finite number of numerals after the decimal point. It is also possible that a fraction has zero numerals after the decimal point.
输入格式
The first line contains a single integer $n$ ( $1 \le n \le 10^5$ ) — the number of queries.
Next $n$ lines contain queries, one per line. Each line contains three integers $p$ , $q$ , and $b$ ( $0 \le p \le 10^{18}$ , $1 \le q \le 10^{18}$ , $2 \le b \le 10^{18}$ ). All numbers are given in notation with base $10$ .
Next $n$ lines contain queries, one per line. Each line contains three integers $p$ , $q$ , and $b$ ( $0 \le p \le 10^{18}$ , $1 \le q \le 10^{18}$ , $2 \le b \le 10^{18}$ ). All numbers are given in notation with base $10$ .
输出格式
For each question, in a separate line, print Finite if the fraction is finite and Infinite otherwise.
输入输出样例
输入 #1
2 6 12 10 4 3 10
输出 #1
Finite Infinite
输入 #2
4 1 1 2 9 36 2 4 12 3 3 5 4
输出 #2
Finite Finite Finite Infinite
$\frac{6}{12} = \frac{1}{2} = 0,5_{10}$
$\frac{4}{3} = 1,(3)_{10}$
$\frac{9}{36} = \frac{1}{4} = 0,01_2$
$\frac{4}{12} = \frac{1}{3} = 0,1_3$
$\frac{4}{3} = 1,(3)_{10}$
$\frac{9}{36} = \frac{1}{4} = 0,01_2$
$\frac{4}{12} = \frac{1}{3} = 0,1_3$
C++ 编辑器
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评测结果：Accepted