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丑数:返回第N个丑数
只包含因子 2 3 5的数称为丑数,第一个丑数是 1
采用辅助数组的方法,提高时间效率 – 下一个丑数一定是已有的丑数乘以2 或者 3 或者 5 得到的
public class _Q34<T> {public int GetUglyNumber(int count){if(count < 1) return 0;if(count == 1) return 1;int uglyArray[] = new int[count];uglyArray[0] = 1; // 第一个丑数是 1int nextUglyIndex = 1;int nextUglyNum = 0;int index2 = 0; // 记录第一个满足uglyArray[]*2 > 当前最大丑数 的下标int index3 = 0;int index5 = 0;while(nextUglyIndex < count){nextUglyNum = MinInThree((uglyArray[index2]*2), (uglyArray[index3]*3), (uglyArray[index5]*5));uglyArray[nextUglyIndex] = nextUglyNum;while(uglyArray[index2]*2 <= uglyArray[nextUglyIndex]){index2++;}while(uglyArray[index3]*3 <= uglyArray[nextUglyIndex]){index3++;}while(uglyArray[index5]*5 <= uglyArray[nextUglyIndex]){index5++;}nextUglyIndex++;}return uglyArray[nextUglyIndex-1];}private int MinInThree(int num1, int num2, int num3){//return (num1 < num2 ? num1:num2) < num3 ? (num1 < num2 ? num1:num2) : num3;int min = num1 < num2 ? num1 : num2;min = min < num3 ? min : num3;return min;}}
测试代码:
public class _Q34Test extends TestCase {_Q34 ugly = new _Q34();public void test(){System.out.println(ugly.GetUglyNumber(1));System.out.println(ugly.GetUglyNumber(2));System.out.println(ugly.GetUglyNumber(3));System.out.println(ugly.GetUglyNumber(4));System.out.println(ugly.GetUglyNumber(5));System.out.println(ugly.GetUglyNumber(6));System.out.println(ugly.GetUglyNumber(7));System.out.println(ugly.GetUglyNumber(8));System.out.println(ugly.GetUglyNumber(9));System.out.println(ugly.GetUglyNumber(10));System.out.println(ugly.GetUglyNumber(11));System.out.println(ugly.GetUglyNumber(0));System.out.println(ugly.GetUglyNumber(1500));}}
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