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write a code for large nos multilication (upto 200 digits)

Answer Posted / ajeet kumar

#include<iostream>
#include<string>
#include<sstream>
#include<vector>

using namespace std;

string toString(int a){
string s="";
stringstream buf;
buf<<a;
s=buf.str();
return s;
}

string ADD( string n1, string n2 ) {
int l1 = n1.size();
int l2 = n2.size();
int d = l1-l2;
d=(d>0)?d:-d;

string s1="";

if( d > 0 ){
for(int i=0;i<d;i++)
s1=s1+'0';
}
if(l1 > l2)
n2=s1+n2;
if(l2>l1)
n1=s1+n1;
int l = n1.size();
int carry = 0;
int x,y,z;
string ans="";

for(int j=l-1;j>=0;j--){
x=(int)n1[j]-48;
y=(int)n2[j]-48;
z=x+y+carry;

if(z>9){
carry=z/10;
string ad = toString(z%10);
ans=ad+ans;
}
else{
carry=0;
string ad = toString(z);
ans=ad+ans;
}
}
if(carry!=0)
ans='1'+ans;
return ans;
}

string remove_leading_zeroes(string tmp) {
string s="0";
for(int i=0;i<tmp.size();i++){
if(tmp[i]=='0')
continue;
tmp=tmp.substr(i,tmp.size()-i+1);
return tmp;
}
return s;
}

vector <string> equate_with_leading_zeros( string a, string
b ) {
int l1=a.size();
int l2=b.size();
int d=(l1-l2>0)?(l1-l2):(l2-l1);
string s="";
vector<string>v;

for(int i=0;i<d;i++)
s=s+'0';
if(l1>l2)
b=s+b;
if(l2>l1)
a=s+a;

v.push_back(a);
v.push_back(b);
return v;
}

string MULTIPLY( string s1, string s2 ) {
vector<string> v = equate_with_leading_zeros(s1,s2);
string a=v[0];
string b=v[1];
string op1,prev="";
int x,y,z;
int l=a.size();
int counter = 0;
int carry=0;

for(int i=l-1;i>=0;i--){
x = (int)a[i]-48;
op1="";
carry = 0;
for(int j=l-1;j>=0;j--){
y = (int)b[j]-48;
z = x*y+carry;
if(z>9){
op1=toString(z%10)+op1;
carry=z/10;
}
else{
op1=toString(z)+op1;
carry=0;
}
}
if(carry != 0){
op1=toString(carry)+op1;
}
carry=0;
string appString="";
for(int k=0;k<counter;k++)
appString=appString+'0';
op1=op1+appString;
prev = ADD(op1,prev);
counter++;
}
if(carry!=0){
prev = toString(carry)+prev;
}
string ans= remove_leading_zeroes(prev);
return ans;
}

int main()
{
string a,b;
cout<<"Enter first no.: ";
cin>>a;
cout<<"Enter second no.: ";
cin>>b;
string ans = MULTIPLY(a,b);
cout<<ans<<"\n";
return 0;
}

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