http://poj.org/problem?id=2103 //* @author: import java.math.BigInteger; import java.util.Scanner; public class Main { static int oneNum[] = new int[65536]; static BigInteger arr[] = new BigInteger[20]; static int n; static BigInteger list[] = new BigInteger[65536]; public static void main(String[] args) { for(int i = 0; i < 16; i ++) { for(int j = 1<< i; j < 1<< i+1; j ++) { oneNum[j] = oneNum[j ^ (1<< i)] + 1; } } ///init over! Scanner scan = new Scanner(System.in); n = scan.nextInt(); BigInteger ans1 = BigInteger.ZERO, ans2 = BigInteger.ONE; for(int i = 0; i < n; i ++) { arr[i] = scan.nextBigInteger(); ans2 = ans2.multiply(arr[i]).divide(ans2.gcd(arr[i])); } list[0] = BigInteger.ONE; for(int i = 0; i < n; i ++) { for(int j = 1<< i; j < 1<< i+1; j ++) { list[j] = list[j^(1<< i)].multiply(arr[i]).divide(list[j^(1<< i)].gcd(arr[i])); if((oneNum[j] & 1) == 1) { ans1 = ans1.add(ans2.divide(list[j])); } else { ans1 = ans1.subtract(ans2.divide(list[j])); } } } BigInteger g = ans1.gcd(ans2); ans1 = ans1.divide(g); ans2 = ans2.divide(g); System.out.println(ans1); System.out.println(ans2); } }
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