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线性结构2 一元多项式的乘法与加法运算(20 分)
设计函数分别求两个一元多项式的乘积与和。输入格式:
输入分2行,每行分别先给出多项式非零项的个数,再以指数递降方式输入一个多项式非零项系数和指数(绝对值均为不超过1000的整数)。数字间以空格分隔。输出格式:
输出分2行,分别以指数递降方式输出乘积多项式以及和多项式非零项的系数和指数。数字间以空格分隔,但结尾不能有多余空格。零多项式应输出0 0。输入样例:
4 3 4 -5 2 6 1 -2 0
3 5 20 -7 4 3 1
输出样例:
15 24 -25 22 30 21 -10 20 -21 8 35 6 -33 5 14 4 -15 3 18 2 -6 1
5 20 -4 4 -5 2 9 1 -2 0
其实我开始是看不懂输入和输出是什么的(捂脸~~~)
输入第一位表示多项式的项数,其后单数表示系数,双数表示指数, 如:4 3 4 -5 2 6 1 -2 0 表示3x^4-5x^2+6x^1-2x^0然后放上代码
#include#include #include using namespace std;//1.创建结构体,包含系数,指数,以及节点定义;//2.创建链表函数;//3.打印链表函数;//4.两个链表相加函数;//5.两个链表相乘函数;//6.主函数;struct polynomial{ int coef,expn;//coef表示系数,expn表示指数 polynomial* next;};polynomial* creat_list(int n){ polynomial *head,*r; head = new polynomial; r = head; int coef,expn; while(n--) { cin>>coef>>expn; polynomial* tmp = new polynomial; tmp->coef = coef; tmp->expn = expn; r->next = tmp; r = tmp; } r->next = NULL; return head;}void print_list(polynomial* n){ polynomial *c; int flag = 0; c = n->next; if(c==NULL) { cout<<0<<" "<<0; } while(c != NULL) { if(flag) cout<<" "; else flag = 1; cout< coef<<" "< expn; c = c->next; }}polynomial* add_list(polynomial*a,polynomial*b){ polynomial *fans,*ans; polynomial *ha,*hb; fans = new polynomial; ans = fans; ha=a->next; hb=b->next; while(ha&&hb) { polynomial *tmp =new polynomial; if(ha->expn > hb->expn) { tmp->expn = ha->expn; tmp->coef = ha->coef; ans->next = tmp; ans = tmp; ha = ha->next; } else if(hb->expn > ha->expn) { tmp->expn = hb->expn; tmp->coef = hb->coef; ans->next = tmp; ans = tmp; hb = hb->next; } else { int i = ha->coef+hb->coef; if(i!=0) { tmp->coef = i; tmp->expn = hb->expn; ans->next = tmp; ans = tmp; } ha = ha->next; hb = hb->next; } } while(ha) { polynomial *tmp = new polynomial; tmp->coef = ha->coef; tmp->expn = ha->expn; ans->next = tmp; ans = tmp; ha = ha->next; } while(hb) { polynomial *tmp = new polynomial; tmp->coef = hb->coef; tmp->expn = hb->expn; ans->next = tmp; ans = tmp; hb = hb->next; } ans->next = NULL; return fans;}polynomial* multi_list(polynomial *a,polynomial *b){ polynomial *ha,*hb; polynomial *ans,*fans; ha = a->next; hb = b->next; fans = creat_list(0); if((ha==NULL)||(hb==NULL)) { return fans; } polynomial*tmp; while(ha!=NULL) { tmp = new polynomial; ans = tmp; hb = b->next; while(hb!=NULL) { polynomial *ntmp = new polynomial; ntmp->coef = ha->coef*hb->coef; ntmp->expn = ha->expn+hb->expn; hb=hb->next; ans->next = ntmp; ans = ntmp; } ans->next = NULL;//由于ha,hb是递减排序,即ha的第一项与hb的每一项相乘得到一个指数递减的链表 fans = add_list(fans,tmp);//将每次while(hb){}后的链表进行迭代,化简多项式 ha = ha->next; } return fans;}int main(){ int n,m; cin>>n; polynomial *a = creat_list(n); cin>>m; polynomial *b = creat_list(m); polynomial *hc = multi_list(a,b); polynomial *hd = add_list(a,b); print_list(hc); cout<
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