public class Test {
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public static void main(String[] args) {
try{
LinkList list1 = new LinkList();
LinkList list2 = new LinkList();
LinkList list3 = null;
list1.addAt(0, new Item(1, 5));
list1.addAt(1, new Item(-1.5, 3));
list1.addAt(2, new Item(1, 1));
list2.addAt(0, new Item(0.5, 5));
list2.addAt(1, new Item(0.5, 4));
list2.addAt(2, new Item(1.5, 3));
list2.addAt(3, new Item(3, 0));
list3 = mergeLinkList(list1, list2);
System.out.println("一元多项式的相加过程：");
list1.listAll();
System.out.println(" + ");
list2.listAll();
System.out.println(" = ");
list3.listAll();
}
catch(Exception e){
e.printStackTrace();
}
}
/**
* 一元多项式的一般项类
*/
class Item{
private double coef; //一元多项式的一般项的系数
private int exp; //一元多项式的一般项的指数
public Item(){
this.coef = 0.0;
this.exp = 0;
}
public Item(double coef, int exp){
this.coef = coef;
this.exp = exp;
}
public double getCoef(){
return this.coef;
}
public void setCoef(double coef){
this.coef = coef;
}
public int getExp(){
return this.exp;
}
public void setExp(int exp){
this.exp = exp;
}
}
/**
* 链表结点类
*/
class Node{
private Item data;
private Node next; //链表结点的指针域，指向直接后继结点
public Node(){
data = null;
next = null;
}
public Node(Item data, Node next){
this.data = data;
this.next = next;
}
public Item getData(){
return this.data;
}
public void setData(Item data){
this.data = data;
}
public Node getNext(){
return this.next;
}
public void setNext(Node next){
this.next = next;
}
}
/**
* 链表类
*/
class LinkList{
private Node head = null; //头结点指针
private int size = 0;
public LinkList(){
head = new Node();
size = 0;
}
//在i位置插入元素elem
public boolean addAt(int i, Item elem) {
if(i 0 || i size){
return false;
}
Node pre,curr;
int pos;
for(pre=head; i0 pre.getNext()!=null; i--,pre=pre.getNext());
curr = new Node(elem, pre.getNext());
pre.setNext(curr);
size++;
return true;
}
//删除i位置的元素
public boolean removeAt(int i) {
if(i 0 || i = size){
return false;
}
Node pre,curr;
for(pre=head; i0 pre.getNext()!=null; i--,pre=pre.getNext());
curr = pre.getNext();
pre.setNext(curr.getNext());
size--;
return true;
}
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public class Test {
public static void main(String[] args) {
try{
LinkList list1 = new LinkList();
LinkList list2 = new LinkList();
LinkList list3 = null;
list1.addAt(0, new Item(1, 5));
list1.addAt(1, new Item(-1.5, 3));
list1.addAt(2, new Item(1, 1));
list2.addAt(0, new Item(0.5, 5));
list2.addAt(1, new Item(0.5, 4));
list2.addAt(2, new Item(1.5, 3));
list2.addAt(3, new Item(3, 0));
list3 = mergeLinkList(list1, list2);
System.out.println("一元多项式的相加过程：");
list1.listAll();
System.out.println(" + ");
list2.listAll();
System.out.println(" = ");
list3.listAll();
}
catch(Exception e){
e.printStackTrace();
}
}
//两个一元多项式相加，返回新的一元多项式
public static LinkList mergeLinkList(LinkList list1, LinkList list2){
int i = 0;
Item item = new Item();
Node curr1, curr2;
LinkList list3 = new LinkList();
curr1 = list1.getHead().getNext();
curr2 = list2.getHead().getNext();
while(curr1 != null curr2 != null){
if(curr1.getData().getExp() curr2.getData().getExp()){
item = curr1.getData();
list3.addAt(i, item);
curr1 = curr1.getNext();
i++;
}
else if(curr1.getData().getExp() curr2.getData().getExp()){
item = curr2.getData();
list3.addAt(i, item);
curr2 = curr2.getNext();
i++;
}
else{
item = new Item(curr1.getData().getCoef() + curr2.getData().getCoef(), curr1.getData().getExp());
if(item.getCoef() != 0){
list3.addAt(i, item);
i++;
}
curr1 = curr1.getNext();
curr2 = curr2.getNext();
}
}
while(curr1 != null){
item = curr1.getData();
list3.addAt(i++, item);
curr1 = curr1.getNext();
}
while(curr2 != null){
item = curr2.getData();
list3.addAt(i++, item);
curr2 = curr2.getNext();
}
return list3;
}
}
/**
* 一元多项式的一般项类
*/
class Item{
private double coef; //一元多项式的一般项的系数
private int exp; //一元多项式的一般项的指数
public Item(){
this.coef = 0.0;
this.exp = 0;
}
public Item(double coef, int exp){
this.coef = coef;
this.exp = exp;
}
public double getCoef(){
return this.coef;
}
public void setCoef(double coef){
this.coef = coef;
}
public int getExp(){
return this.exp;
}
public void setExp(int exp){
this.exp = exp;
}
}
/**
* 链表结点类
*/
class Node{
private Item data;
private Node next; //链表结点的指针域，指向直接后继结点
public Node(){
data = null;
next = null;
}
public Node(Item data, Node next){
this.data = data;
this.next = next;
}
public Item getData(){
return this.data;
}
public void setData(Item data){
this.data = data;
}
public Node getNext(){
return this.next;
}
public void setNext(Node next){
this.next = next;
}
}
/**
* 链表类
*/
class LinkList{
private Node head = null; //头结点指针
private int size = 0;
public LinkList(){
head = new Node();
size = 0;
}
//在i位置插入元素elem
public boolean addAt(int i, Item elem) {
if(i 0 || i size){
return false;
}
Node pre,curr;
int pos;
for(pre=head; i0 pre.getNext()!=null; i--,pre=pre.getNext());
curr = new Node(elem, pre.getNext());
pre.setNext(curr);
size++;
return true;
}
//删除i位置的元素
public boolean removeAt(int i) {
if(i 0 || i = size){
return false;
}
Node pre,curr;
for(pre=head; i0 pre.getNext()!=null; i--,pre=pre.getNext());
curr = pre.getNext();
pre.setNext(curr.getNext());
size--;
return true;
}
//根据值value查询结点是否存在，若存在返回位置，否则返回-1
public int findByValue(Item value){
Node curr;
int pos;
for(pos=0,curr=head.getNext(); curr!=null; pos++,curr=curr.getNext()){
if(curr.getData().toString().equals(value.toString())){
break;
}
}
if(curr==null){
return -1;
}
return pos;
}
public Node getHead(){
return this.head;
}
public void setHead(Node head){
this.head = head;
}
public int getSize(){
return this.size;
}
public boolean isEmpty(){
return (size==0);
}
public void listAll(){
for(Node curr=head.getNext(); curr!=null; curr=curr.getNext()){
System.out.print("(" + curr.getData().getCoef() + ", " + curr.getData().getExp() + ")\t");
}
System.out.println();
}
}
两种方法，一种直接用循环计算，用循环依次对1到n进行叠加，具体如下：
public class Exos
{
public static void main(String[] args){
int n = 10;
int sum = 0;
for(int i=0;in;i++){
sum = sum + i+1;
}
System.out.println("The sum is: " + sum);
}
}
另一种方式是直接采用求和公式（前n项和求和公式为：(首项+末项)*项数/2）:
public class Exos
{
public static void main(String[] args){
int n = 10;
int sum = n*(n+1)/2;
System.out.println("The sum is: " + sum);
}
}
如果还有不清楚的地方，欢迎追问。
