HDU-1019 Least Common Multiple
Description
The least common multiple (LCM) of a set of positive integers is the smallest positive integer which is divisible by all the numbers in the set. For example, the LCM of 5, 7 and 15 is 105.
Input
Input will consist of multiple problem instances. The first line of the input will contain a single integer indicating the number of problem instances. Each instance will consist of a single line of the form m n1 n2 n3 ... nm where m is the number of integers in the set and n1 ... nm are the integers. All integers will be positive and lie within the range of a 32-bit integer.
Output
For each problem instance, output a single line containing the corresponding LCM. All results will lie in the range of a 32-bit integer.
Sample Input
2
3 5 7 15
6 4 10296 936 1287 792 1
Sample Output
105
10296
最小公倍数等于两数相乘除以最大公因数。(欧几里得算法)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 | #include <iostream> #include <cmath> #include <algorithm> using namespace std; int main( void ) { int t; long func( long , long ); cin >> t; while (t--) { long long q = 1; int m; long num; cin >> m; while (m--) { cin >> num; q = num/func(q, num)*q; } cout << q << endl; } return 0; } long func( long a, long b) { long q = max(a, b); long p = a+b-q; while (q%p!=0) { p = q+p; q = p-q; p = p-q; p = p%q; } return p; } |
分类:
水
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