Write a program to find the n-th ugly number. Ugly numbers are positive numbers whose prime factors only include 2, 3, 5. For example, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12 is the sequence of the first 10 ugly numbers. Note that 1 is typically treated as an ugly number.
Java Solution
public int nthUglyNumber(int n) { if(n<=0) return 0; ArrayList<Integer> list = new ArrayList<Integer>(); list.add(1); int i=0; int j=0; int k=0; while(list.size()<n){ int m2 = list.get(i)*2; int m3 = list.get(j)*3; int m5 = list.get(k)*5; int min = Math.min(m2, Math.min(m3, m5)); list.add(min); if(min==m2) i++; if(min==m3) j++; if(min==m5) k++; } return list.get(list.size()-1); } |
What might be the time complexity of this solution?