FNRANK - Rank of a Fraction
Let us consider a set of fractions x/y, such that 0 <= x/y <= 1, y <= n and gcd(x, y) = 1.
For example, say n = 5. Then we have the following set in increasing order :
You are given n, a and b. The task is to find the rank of a/b in a set of fractions as stated above which is in increasing order.
The first line of the input contains t (t <= 20), the number of test cases. Then t lines follow. In each of the t lines you are given n, a and b. (n <= 100000).
Print t lines. The ith line contains the rank of a fraction a/b for a given n, a and b in the (i + 1)th line of input. All answers fit within a signed integer.
Input: 2 5 3 4 8 5 7 Output: 9 17
First Java solution!
Use of inclusion and exclusion property!!
use long long costed 10WA
Let's get to all X from 1 to N and check how many Y/X are there who are less than A/B and gcd(X, Y)=1. To do this,
am using the the formula to generate its next numbers but still tle:(