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Problem C. Calculate

Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 524288/524288 K (Java/Others)
Total Submission(s): 725    Accepted Submission(s): 285


Problem Description
Given A, B, C, Calculate

Where ¦Õ(n) denotes the number of positive integers ¡Ü n that are relatively prime to n.
 

Input
The first line of the input contains an integer T , denoting the number of test cases. In each test case, there are three integers A, B, C in one line, as described above.
1 ¡Ü T ¡Ü 10, 0 < A, B, C ¡Ü 10^7
 

Output
For each test case, output one line contains a single integer, denoting the answer modulo 2^30.
 

Sample Input
4
96 93 95
970 906 893
92460 95043 54245
9760979 8053227 7156842
 

Sample Output
1114536
28070648
388873924
623507672
 

Source
2018 Multi-University Training Contest 10
 

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