Implement the following operations of a stack using queues. 
  push(x) – Push element x onto stack. 
  pop() – Removes the element on top of the stack. 
  top() – Get the top element. 
  empty() – Return whether the stack is empty. 
  Notes: 
  You must use only standard operations of a queue – which means only push to back, peek/pop from front, size, and is empty operations are valid. 
  Depending on your language, queue may not be supported natively. You may simulate a queue by using a list or deque (double-ended queue), as long as you use only standard operations of a queue. 
  You may assume that all operations are valid (for example, no pop or top operations will be called on an empty stack). 
  使用队列实现栈操作 
  push(x)  – 元素入栈 
  pop()    – 元素出栈 
  top()    – 取栈顶元素值 
  empty()  – 判断栈是否为空 
  注意: 
  只能使用队列的标准操作,先进先出,求队列元素数,判断队列是否为空 
  由于编程语言原因,有些语言不支抚摩队列,可以使用链表或双向链表代替,但仅能使用标准的队列操作 
  你可以假设所有的操作都是合法的,即:当队列为空时不会有元素出栈和求栈顶元素的操作 
  用两个队列来模拟一个栈 
算法实现类
import java.util.LinkedList;
import java.util.List;
public class MyStack {
    // 维持两个队列,其中总有一个队列为空,为pop和top操作准备
    private List<Integer> aList = new LinkedList<>();
    private List<Integer> bList = new LinkedList<>();
    // Push element x onto stack.
    public void push(int x) {
        // 如果aList非空,就将x添加到aList中
        if (!aList.isEmpty()) {
            aList.add(x);
        }
        // 否则总添加到bList中
        else {
            bList.add(x);
        }
    }
    // Removes the element on top of the stack.
    public void pop() {
        // 两个队列中至少有一个为空,将aList设置非空
        if (aList.isEmpty()) {
            List<Integer> tmp = bList;
            bList = aList;
            aList = tmp;
        }
        // 除最后一个元素外都转移到bList中
        while (aList.size() > 1) {
            bList.add(aList.remove(0));
        }
        // 删除最后一个元素(对应就是入栈的栈顶元素)
        aList.clear();
    }
    // Get the top element.
    public int top() {
        // 两个队列中至少有一个为空,将aList设置非空
        if (aList.isEmpty()) {
            List<Integer> tmp = bList;
            bList = aList;
            aList = tmp;
        }
        // 除最后一个元素外都转移到bList中
        while (aList.size() > 1) {
            bList.add(aList.remove(0));
        }
        bList.add(aList.get(0));
        return aList.remove(0);
    }
    // Return whether the stack is empty.
    public boolean empty() {
        return aList.isEmpty() && bList.isEmpty();
    }
}
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【LeetCode-面试算法经典-Java实现】【225-Implement Stack using Queues(用队列实现栈操作)】
原文:http://blog.csdn.net/derrantcm/article/details/48084069