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[leetcode] Super Ugly Number

2015-12-04 21:25 239 查看
题目:

Write a program to find the nth super ugly number.

Super ugly numbers are positive numbers whose all prime factors are in the given prime list primes of size k. For example, [1, 2, 4, 7, 8, 13, 14, 16, 19, 26, 28, 32] is the sequence of the first 12 super ugly numbers given primes = [2, 7, 13, 19] of size 4.

Note:
(1) 1 is a super ugly number for any given primes.
(2) The given numbers in primes are in ascending order.
(3) 0 < k ≤ 100, 0 < n ≤ 106, 0 < primes[i] < 1000.


分析:具体解析过程可参考Ugly Number II,Java代码如下:

public int minAll(int[] factors) {
int min = factors[0];
for(int f : factors) {
if(f < min) {
min = f;
}
}
return min;
}
public int nthSuperUglyNumber(int n, int[] primes) {
int[] factors = new int[primes.length];
System.arraycopy(primes, 0, factors, 0, primes.length);
int[] index = new int[primes.length];
int[] uglyNums = new int
;
uglyNums[0] = 1;
for(int i = 1; i < n; i++) {
int min = minAll(factors);
uglyNums[i] = min;
for(int k = 0; k < factors.length; k++) {
if(min == factors[k]) {
factors[k] = primes[k] * uglyNums[++index[k]];
}
}
}
return uglyNums[n-1];
}
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