Java how to remove minimum element from stack

/**
 * @author lautturi.com 
 * Java example: how to remove minimum element from stack 
 */


import java.util.*;

public class Lautturi {
	// delete remove minimum element from stack 
	public static void removeMin(Stack<Integer> stack) {
		Integer min = stack.peek(); 
		Integer e;

        Stack<Integer> newStack = new Stack<Integer>();
        
        // find out the min value in stack
        while (!stack.isEmpty()) {
            e = stack.pop(); 
            newStack.push(e); 
            
            if (e < min) {
                min = e;
            }
        }

        stack.clear();
        while (!newStack.isEmpty()) {
            e = newStack.pop(); 
            if (e != min) {
                stack.push(e);
            }
        }
    }
	
	public static void main(String[] args) {

		Stack<Integer> stack= new Stack<Integer>();
		stack.push(3);
		stack.push(7);
		stack.push(15);
		stack.push(12);
		stack.push(7);
		stack.push(1);
		stack.push(15);
		stack.push(8);
		
        System.out.println("Stack: " + stack);
        removeMin(stack);
        System.out.println("Stack: " + stack);
		
	}
}

output:

Stack: [3, 7, 15, 12, 7, 1, 15, 8]
Stack: [3, 7, 15, 12, 7, 15, 8]