標籤:必須 分析 大數 mat [] math VID 最小 代碼
題意:
01給出一個數n,現在要將它分為m個數,這m個數相加起來必須等於n,並且要使得這m個數的或值最小。
思路分析:
一個簡單的貪心,從高位到低位,判斷當前位可否為 1 ,若可以,則將所有的數的這一位全部都變成 1
程式碼範例:
import java.math.*;import java.util.*;public class study {public static void main(String[] args) {Scanner cin = new Scanner(System.in);BigInteger n, m;int t = cin.nextInt();for(int cas = 0; cas < t; cas++) {n = cin.nextBigInteger();m = cin.nextBigInteger();BigInteger ans = BigInteger.valueOf(0);int len = 0; BigInteger ss = n, v = BigInteger.valueOf(0); while(ss.compareTo(v)>0){ ss = ss.divide(BigInteger.valueOf(2)); len++; } for(int i = len; i >= 0; i--) {BigInteger tem = BigInteger.valueOf(2);tem = tem.pow(i).subtract(BigInteger.valueOf(1)).multiply(m);//System.out.println(tem);if (tem.compareTo(n) < 0) {BigInteger f = BigInteger.valueOf(2).pow(i);ans = ans.add(f);BigInteger p = n.divide(f);if (p.compareTo(m) >= 0) n = n.subtract(m.multiply(f));else n = n.subtract(p.multiply(f));//System.out.println(f);//System.out.println(p);}}System.out.println(ans);}}}
JAVA大數貪心