补码表示的大数加减乘除运算程序设计
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#include <deque>
#include <vector>
#include <iostream>
#include <string>
#include <algorithm>
using namespace std;
class DividedByZeroException{};
class BigInteger
{
private:
vector<char> digits;
bool sign; // true for positive, false for negitive
void trim(); // remove zeros in tail, but if the value is 0, keep only one:)
public:
BigInteger(int); // construct with a int integer
BigInteger(string&) ;
BigInteger();
BigInteger (const BigInteger&);
BigInteger operator=(const BigInteger& op2);
BigInteger abs() const;
BigInteger pow(int a);
//binary operators
friend BigInteger operator+=(BigInteger&,const BigInteger&);
friend BigInteger operator-=(BigInteger&,const BigInteger&);
friend BigInteger operator*=(BigInteger&,const BigInteger&);
friend BigInteger operator/=(BigInteger&,const BigInteger&) throw(DividedByZeroException);
friend BigInteger operator%=(BigInteger&,const BigInteger&) throw(DividedByZeroException);
friend BigInteger operator+(const BigInteger&,const BigInteger&);
friend BigInteger operator-(const BigInteger&,const BigInteger&);
friend BigInteger operator*(const BigInteger&,const BigInteger&);
friend BigInteger operator/(const BigInteger&,const BigInteger&) throw(DividedByZeroException);
friend BigInteger operator%(const BigInteger&,const BigInteger&) throw(DividedByZeroException);
//uniary operators
friend BigInteger operator-(const BigInteger&); //negative
friend BigInteger operator++(BigInteger&); //++v
friend BigInteger operator++(BigInteger&,int); //v++
friend BigInteger operator--(BigInteger&); //--v
friend BigInteger operator--(BigInteger&,int); //v--
friend bool operator>(const BigInteger&,const BigInteger&);
friend bool operator<(const BigInteger&,const BigInteger&);
friend bool operator==(const BigInteger&,const BigInteger&);
friend bool operator!=(const BigInteger&,const BigInteger&);
friend bool operator>=(const BigInteger&,const BigInteger&);
friend bool operator<=(const BigInteger&,const BigInteger&);
friend ostream& operator<<(ostream&,const BigInteger&); //print the BigInteger
friend istream& operator>>(istream&, BigInteger&); // input the BigInteger
public:
static const BigInteger ZERO;
static const BigInteger ONE;
static const BigInteger TEN;
};
const BigInteger BigInteger::ZERO=BigInteger(0);
const BigInteger BigInteger::ONE =BigInteger(1);
const BigInteger BigInteger::TEN =BigInteger(10);
BigInteger::BigInteger()
{
sign=true;
}
BigInteger::BigInteger(int val){// construct with a int integer
if (val >= 0)
sign = true;
else{
sign = false;
val *= (-1);
}
do{
digits.push_back( (char)(val%10) );
val /= 10;
} while ( val != 0 );
}
BigInteger::BigInteger(string& def){
sign=true;
for ( string::reverse_iterator iter = def.rbegin() ; iter < def.rend(); iter++){
char ch = (*iter);
if (iter == def.rend()-1){
if ( ch == '+' )
break;
if(ch == '-' ){
sign = false;
break;
}
}
digits.push_back( (char)((*iter) - '0' ) );
}
trim();
}
void BigInteger::trim(){
vector<char>::reverse_iterator iter = digits.rbegin();
while(!digits.empty() && (*iter) == 0){
digits.pop_back();
iter=digits.rbegin();
}
if( digits.size()==0 ){
sign = true;
digits.push_back(0);
}
}
BigInteger::BigInteger(const BigInteger& op2){
sign = op2.sign;
digits=op2.digits;
}
BigInteger BigInteger::operator=(const BigInteger& op2){
digits = op2.digits;
sign = op2.sign;
return (*this);
}
BigInteger BigInteger::abs() const {
if(sign) return *this;
else return -(*this);
}
BigInteger BigInteger::pow(int a)
{
BigInteger res(1);
for(int i=0; i<a; i++)
res*=(*this);
return res;
}
//binary operators
BigInteger operator+=(BigInteger& op1,const BigInteger& op2){
if( op1.sign == op2.sign ){ //只处理相同的符号的情况,异号的情况给-处理
vector<char>::iterator iter1;
vector<char>::const_iterator iter2;
iter1 = op1.digits.begin();
iter2 = op2.digits.begin();
char to_add = 0; //进位
while ( iter1 != op1.digits.end() && iter2 != op2.digits.end()){
(*iter1) = (*iter1) + (*iter2) + to_add;
to_add = ((*iter1) > 9); // 大于9进一位
(*iter1) = (*iter1) % 10;
iter1++; iter2++;
}
while ( iter1 != op1.digits.end() ){ //
(*iter1) = (*iter1) + to_add;
to_add = ( (*iter1) > 9 );
(*iter1) %= 10;
iter1++;
}
while ( iter2 != op2.digits.end() ){
char val = (*iter2) + to_add;
to_add = (val > 9) ;
val %= 10;
op1.digits.push_back(val);
iter2++;
}
if( to_add != 0 )
op1.digits.push_back(to_add);
return op1;
}
else{
if (op1.sign)
return op1 -= (-op2);
else
return op1= op2 - (-op1);
}
}
BigInteger operator-=(BigInteger& op1,const BigInteger& op2){
if( op1.sign == op2.sign ){
if(op1.sign) {
if(op1 < op2)
return op1=-(op2 - op1);
}
else {
if(-op1 > -op2)
return op1=-((-op1)-(-op2));
else
return op1= (-op2) - (-op1);
}
vector<char>::iterator iter1;
vector<char>::const_iterator iter2;
iter1 = op1.digits.begin();
iter2 = op2.digits.begin();
char to_substract = 0;
while ( iter1 != op1.digits.end() && iter2 != op2.digits.end()){
(*iter1) = (*iter1) - (*iter2) - to_substract;
to_substract = 0;
if( (*iter1) < 0 ){
to_substract=1;
(*iter1) += 10;
}
iter1++;
iter2++;
}
while ( iter1 != op1.digits.end() ){
(*iter1) = (*iter1) - to_substract;
to_substract = 0;
if( (*iter1) < 0 ){
to_substract=1;
(*iter1) += 10;
}
else break;
iter1++;
}
op1.trim();
return op1;
}
else{
if (op1 > BigInteger::ZERO)
return op1 += (-op2);
else
return op1 = -(op2 + (-op1));
}
}
BigInteger operator*=(BigInteger& op1,const BigInteger& op2){
BigInteger result(0);
if (op1 == BigInteger::ZERO || op2==BigInteger::ZERO)
result = BigInteger::ZERO;
else{
vector<char>::const_iterator iter2 = op2.digits.begin();
while( iter2 != op2.digits.end() ){
if(*iter2 != 0){
deque<char> temp(op1.digits.begin() , op1.digits.end());
char to_add = 0;
deque<char>::iterator iter1 = temp.begin();
while( iter1 != temp.end() ){
(*iter1) *= (*iter2);
(*iter1) += to_add;
to_add = (*iter1) / 10;
(*iter1) %= 10;
iter1++;
}
if( to_add != 0)
temp.push_back( to_add );
int num_of_zeros = iter2 - op2.digits.begin();
while( num_of_zeros--)
temp.push_front(0);
BigInteger temp2;
temp2.digits.insert( temp2.digits.end() , temp.begin() , temp.end() );
temp2.trim();
result = result + temp2;
}
iter2++;
}
result.sign = ( (op1.sign && op2.sign) || (!op1.sign && !op2.sign) );
}
op1 = result;
return op1;
}
BigInteger operator/=(BigInteger& op1 , const BigInteger& op2 ) throw(DividedByZeroException) {
if( op2 == BigInteger::ZERO )
throw DividedByZeroException();
BigInteger t1 = op1.abs(), t2 = op2.abs();
if ( t1 < t2 ){
op1 = BigInteger::ZERO;
return op1;
}
deque<char> temp;
vector<char>::reverse_iterator iter = t1.digits.rbegin();
BigInteger temp2(0);
while( iter != t1.digits.rend() ){
temp2 = temp2 * BigInteger::TEN + BigInteger( (int)(*iter) );
char s = 0;
while( temp2 >= t2 ){
temp2 = temp2 - t2;
s = s + 1;
}
temp.push_front( s );
iter++;
}
op1.digits.clear();
op1.digits.insert( op1.digits.end() , temp.begin() , temp.end() );
op1.trim();
op1.sign = ( (op1.sign && op2.sign) || (!op1.sign && !op2.sign) );
return op1;
}
BigInteger operator%=(BigInteger& op1,const BigInteger& op2) throw(DividedByZeroException) {
return op1 -= ((op1 / op2)*op2);
}
BigInteger operator+(const BigInteger& op1,const BigInteger& op2){
BigInteger temp(op1);
temp += op2;
return temp;
}
BigInteger operator-(const BigInteger& op1,const BigInteger& op2){
BigInteger temp(op1);
temp -= op2;
return temp;
}
BigInteger operator*(const BigInteger& op1,const BigInteger& op2){
BigInteger temp(op1);
temp *= op2;
return temp;
}
BigInteger operator/(const BigInteger& op1,const BigInteger& op2) throw(DividedByZeroException) {
BigInteger temp(op1);
temp /= op2;
return temp;
}
BigInteger operator%(const BigInteger& op1,const BigInteger& op2) throw(DividedByZeroException) {
BigInteger temp(op1);
temp %= op2;
return temp;
}
BigInteger operator-(const BigInteger& op){
BigInteger temp = BigInteger(op);
temp.sign = !temp.sign;
return temp;
}
BigInteger operator++(BigInteger& op){
op += BigInteger::ONE;
return op;
}
BigInteger operator++(BigInteger& op,int x){
BigInteger temp(op);
++op;
return temp;
}
BigInteger operator--(BigInteger& op){
op -= BigInteger::ONE;
return op;
}
BigInteger operator--(BigInteger& op,int x){
BigInteger temp(op);
--op;
return temp;
}
bool operator<(const BigInteger& op1,const BigInteger& op2){
if( op1.sign != op2.sign )
return !op1.sign;
else{
if(op1.digits.size() != op2.digits.size())
return (op1.sign && op1.digits.size()<op2.digits.size())
|| (!op1.sign && op1.digits.size()>op2.digits.size());
vector<char>::const_reverse_iterator iter1,iter2;
iter1 = op1.digits.rbegin();iter2 = op2.digits.rbegin();
while( iter1 != op1.digits.rend() ){
if( op1.sign && *iter1 < *iter2 ) return true;
if( op1.sign && *iter1 > *iter2 ) return false;
if( !op1.sign && *iter1 > *iter2 ) return true;
if( !op1.sign && *iter1 < *iter2 ) return false;
iter1++;
iter2++;
}
return false;
}
}
bool operator==(const BigInteger& op1,const BigInteger& op2){
if( op1.sign != op2.sign || op1.digits.size() != op2.digits.size() )
return false;
vector<char>::const_iterator iter1,iter2;
iter1 = op1.digits.begin();
iter2 = op2.digits.begin();
while( iter1!= op1.digits.end() ){
if( *iter1 != *iter2 ) return false;
iter1++;
iter2++;
}
return true;
}
bool operator!=(const BigInteger& op1,const BigInteger& op2){
return !(op1==op2);
}
bool operator>=(const BigInteger& op1,const BigInteger& op2){
return (op1>op2) || (op1==op2);
}
bool operator<=(const BigInteger& op1,const BigInteger& op2){
return (op1<op2) || (op1==op2);
}
bool operator>(const BigInteger& op1,const BigInteger& op2){
return !(op1<=op2);
}
ostream& operator<<(ostream& stream,const BigInteger& val){ //print the BigInteger
if (!val.sign)
stream << "-";
for ( vector<char>::const_reverse_iterator iter = val.digits.rbegin(); iter != val.digits.rend() ; iter++)
stream << (char)((*iter) + '0');
return stream;
}
istream& operator>>(istream& stream, BigInteger& val){ //Input the BigInteger
string str;
stream >> str;
val=BigInteger(str);
return stream;
}
BigInteger gcd (BigInteger m, BigInteger n)
{
if( m < n )
std::swap(m,n);
if ( n == BigInteger(0))
return m;
return gcd(n,m%n);
}
BigInteger lcm(BigInteger m, BigInteger n)
{
return m * n /gcd(m,n);
}
int main()
{
std::string b1,b2;
do
{
std::cin>>b1>>b2;
if ( b1 == b2 && b1 == "0" )
break;
BigInteger ret = lcm(BigInteger(b1), BigInteger(b2));
std::cout<<ret<<std::endl;
}while(1);
}
#include <vector>
#include <iostream>
#include <string>
#include <algorithm>
using namespace std;
class DividedByZeroException{};
class BigInteger
{
private:
vector<char> digits;
bool sign; // true for positive, false for negitive
void trim(); // remove zeros in tail, but if the value is 0, keep only one:)
public:
BigInteger(int); // construct with a int integer
BigInteger(string&) ;
BigInteger();
BigInteger (const BigInteger&);
BigInteger operator=(const BigInteger& op2);
BigInteger abs() const;
BigInteger pow(int a);
//binary operators
friend BigInteger operator+=(BigInteger&,const BigInteger&);
friend BigInteger operator-=(BigInteger&,const BigInteger&);
friend BigInteger operator*=(BigInteger&,const BigInteger&);
friend BigInteger operator/=(BigInteger&,const BigInteger&) throw(DividedByZeroException);
friend BigInteger operator%=(BigInteger&,const BigInteger&) throw(DividedByZeroException);
friend BigInteger operator+(const BigInteger&,const BigInteger&);
friend BigInteger operator-(const BigInteger&,const BigInteger&);
friend BigInteger operator*(const BigInteger&,const BigInteger&);
friend BigInteger operator/(const BigInteger&,const BigInteger&) throw(DividedByZeroException);
friend BigInteger operator%(const BigInteger&,const BigInteger&) throw(DividedByZeroException);
//uniary operators
friend BigInteger operator-(const BigInteger&); //negative
friend BigInteger operator++(BigInteger&); //++v
friend BigInteger operator++(BigInteger&,int); //v++
friend BigInteger operator--(BigInteger&); //--v
friend BigInteger operator--(BigInteger&,int); //v--
friend bool operator>(const BigInteger&,const BigInteger&);
friend bool operator<(const BigInteger&,const BigInteger&);
friend bool operator==(const BigInteger&,const BigInteger&);
friend bool operator!=(const BigInteger&,const BigInteger&);
friend bool operator>=(const BigInteger&,const BigInteger&);
friend bool operator<=(const BigInteger&,const BigInteger&);
friend ostream& operator<<(ostream&,const BigInteger&); //print the BigInteger
friend istream& operator>>(istream&, BigInteger&); // input the BigInteger
public:
static const BigInteger ZERO;
static const BigInteger ONE;
static const BigInteger TEN;
};
const BigInteger BigInteger::ZERO=BigInteger(0);
const BigInteger BigInteger::ONE =BigInteger(1);
const BigInteger BigInteger::TEN =BigInteger(10);
BigInteger::BigInteger()
{
sign=true;
}
BigInteger::BigInteger(int val){// construct with a int integer
if (val >= 0)
sign = true;
else{
sign = false;
val *= (-1);
}
do{
digits.push_back( (char)(val%10) );
val /= 10;
} while ( val != 0 );
}
BigInteger::BigInteger(string& def){
sign=true;
for ( string::reverse_iterator iter = def.rbegin() ; iter < def.rend(); iter++){
char ch = (*iter);
if (iter == def.rend()-1){
if ( ch == '+' )
break;
if(ch == '-' ){
sign = false;
break;
}
}
digits.push_back( (char)((*iter) - '0' ) );
}
trim();
}
void BigInteger::trim(){
vector<char>::reverse_iterator iter = digits.rbegin();
while(!digits.empty() && (*iter) == 0){
digits.pop_back();
iter=digits.rbegin();
}
if( digits.size()==0 ){
sign = true;
digits.push_back(0);
}
}
BigInteger::BigInteger(const BigInteger& op2){
sign = op2.sign;
digits=op2.digits;
}
BigInteger BigInteger::operator=(const BigInteger& op2){
digits = op2.digits;
sign = op2.sign;
return (*this);
}
BigInteger BigInteger::abs() const {
if(sign) return *this;
else return -(*this);
}
BigInteger BigInteger::pow(int a)
{
BigInteger res(1);
for(int i=0; i<a; i++)
res*=(*this);
return res;
}
//binary operators
BigInteger operator+=(BigInteger& op1,const BigInteger& op2){
if( op1.sign == op2.sign ){ //只处理相同的符号的情况,异号的情况给-处理
vector<char>::iterator iter1;
vector<char>::const_iterator iter2;
iter1 = op1.digits.begin();
iter2 = op2.digits.begin();
char to_add = 0; //进位
while ( iter1 != op1.digits.end() && iter2 != op2.digits.end()){
(*iter1) = (*iter1) + (*iter2) + to_add;
to_add = ((*iter1) > 9); // 大于9进一位
(*iter1) = (*iter1) % 10;
iter1++; iter2++;
}
while ( iter1 != op1.digits.end() ){ //
(*iter1) = (*iter1) + to_add;
to_add = ( (*iter1) > 9 );
(*iter1) %= 10;
iter1++;
}
while ( iter2 != op2.digits.end() ){
char val = (*iter2) + to_add;
to_add = (val > 9) ;
val %= 10;
op1.digits.push_back(val);
iter2++;
}
if( to_add != 0 )
op1.digits.push_back(to_add);
return op1;
}
else{
if (op1.sign)
return op1 -= (-op2);
else
return op1= op2 - (-op1);
}
}
BigInteger operator-=(BigInteger& op1,const BigInteger& op2){
if( op1.sign == op2.sign ){
if(op1.sign) {
if(op1 < op2)
return op1=-(op2 - op1);
}
else {
if(-op1 > -op2)
return op1=-((-op1)-(-op2));
else
return op1= (-op2) - (-op1);
}
vector<char>::iterator iter1;
vector<char>::const_iterator iter2;
iter1 = op1.digits.begin();
iter2 = op2.digits.begin();
char to_substract = 0;
while ( iter1 != op1.digits.end() && iter2 != op2.digits.end()){
(*iter1) = (*iter1) - (*iter2) - to_substract;
to_substract = 0;
if( (*iter1) < 0 ){
to_substract=1;
(*iter1) += 10;
}
iter1++;
iter2++;
}
while ( iter1 != op1.digits.end() ){
(*iter1) = (*iter1) - to_substract;
to_substract = 0;
if( (*iter1) < 0 ){
to_substract=1;
(*iter1) += 10;
}
else break;
iter1++;
}
op1.trim();
return op1;
}
else{
if (op1 > BigInteger::ZERO)
return op1 += (-op2);
else
return op1 = -(op2 + (-op1));
}
}
BigInteger operator*=(BigInteger& op1,const BigInteger& op2){
BigInteger result(0);
if (op1 == BigInteger::ZERO || op2==BigInteger::ZERO)
result = BigInteger::ZERO;
else{
vector<char>::const_iterator iter2 = op2.digits.begin();
while( iter2 != op2.digits.end() ){
if(*iter2 != 0){
deque<char> temp(op1.digits.begin() , op1.digits.end());
char to_add = 0;
deque<char>::iterator iter1 = temp.begin();
while( iter1 != temp.end() ){
(*iter1) *= (*iter2);
(*iter1) += to_add;
to_add = (*iter1) / 10;
(*iter1) %= 10;
iter1++;
}
if( to_add != 0)
temp.push_back( to_add );
int num_of_zeros = iter2 - op2.digits.begin();
while( num_of_zeros--)
temp.push_front(0);
BigInteger temp2;
temp2.digits.insert( temp2.digits.end() , temp.begin() , temp.end() );
temp2.trim();
result = result + temp2;
}
iter2++;
}
result.sign = ( (op1.sign && op2.sign) || (!op1.sign && !op2.sign) );
}
op1 = result;
return op1;
}
BigInteger operator/=(BigInteger& op1 , const BigInteger& op2 ) throw(DividedByZeroException) {
if( op2 == BigInteger::ZERO )
throw DividedByZeroException();
BigInteger t1 = op1.abs(), t2 = op2.abs();
if ( t1 < t2 ){
op1 = BigInteger::ZERO;
return op1;
}
deque<char> temp;
vector<char>::reverse_iterator iter = t1.digits.rbegin();
BigInteger temp2(0);
while( iter != t1.digits.rend() ){
temp2 = temp2 * BigInteger::TEN + BigInteger( (int)(*iter) );
char s = 0;
while( temp2 >= t2 ){
temp2 = temp2 - t2;
s = s + 1;
}
temp.push_front( s );
iter++;
}
op1.digits.clear();
op1.digits.insert( op1.digits.end() , temp.begin() , temp.end() );
op1.trim();
op1.sign = ( (op1.sign && op2.sign) || (!op1.sign && !op2.sign) );
return op1;
}
BigInteger operator%=(BigInteger& op1,const BigInteger& op2) throw(DividedByZeroException) {
return op1 -= ((op1 / op2)*op2);
}
BigInteger operator+(const BigInteger& op1,const BigInteger& op2){
BigInteger temp(op1);
temp += op2;
return temp;
}
BigInteger operator-(const BigInteger& op1,const BigInteger& op2){
BigInteger temp(op1);
temp -= op2;
return temp;
}
BigInteger operator*(const BigInteger& op1,const BigInteger& op2){
BigInteger temp(op1);
temp *= op2;
return temp;
}
BigInteger operator/(const BigInteger& op1,const BigInteger& op2) throw(DividedByZeroException) {
BigInteger temp(op1);
temp /= op2;
return temp;
}
BigInteger operator%(const BigInteger& op1,const BigInteger& op2) throw(DividedByZeroException) {
BigInteger temp(op1);
temp %= op2;
return temp;
}
BigInteger operator-(const BigInteger& op){
BigInteger temp = BigInteger(op);
temp.sign = !temp.sign;
return temp;
}
BigInteger operator++(BigInteger& op){
op += BigInteger::ONE;
return op;
}
BigInteger operator++(BigInteger& op,int x){
BigInteger temp(op);
++op;
return temp;
}
BigInteger operator--(BigInteger& op){
op -= BigInteger::ONE;
return op;
}
BigInteger operator--(BigInteger& op,int x){
BigInteger temp(op);
--op;
return temp;
}
bool operator<(const BigInteger& op1,const BigInteger& op2){
if( op1.sign != op2.sign )
return !op1.sign;
else{
if(op1.digits.size() != op2.digits.size())
return (op1.sign && op1.digits.size()<op2.digits.size())
|| (!op1.sign && op1.digits.size()>op2.digits.size());
vector<char>::const_reverse_iterator iter1,iter2;
iter1 = op1.digits.rbegin();iter2 = op2.digits.rbegin();
while( iter1 != op1.digits.rend() ){
if( op1.sign && *iter1 < *iter2 ) return true;
if( op1.sign && *iter1 > *iter2 ) return false;
if( !op1.sign && *iter1 > *iter2 ) return true;
if( !op1.sign && *iter1 < *iter2 ) return false;
iter1++;
iter2++;
}
return false;
}
}
bool operator==(const BigInteger& op1,const BigInteger& op2){
if( op1.sign != op2.sign || op1.digits.size() != op2.digits.size() )
return false;
vector<char>::const_iterator iter1,iter2;
iter1 = op1.digits.begin();
iter2 = op2.digits.begin();
while( iter1!= op1.digits.end() ){
if( *iter1 != *iter2 ) return false;
iter1++;
iter2++;
}
return true;
}
bool operator!=(const BigInteger& op1,const BigInteger& op2){
return !(op1==op2);
}
bool operator>=(const BigInteger& op1,const BigInteger& op2){
return (op1>op2) || (op1==op2);
}
bool operator<=(const BigInteger& op1,const BigInteger& op2){
return (op1<op2) || (op1==op2);
}
bool operator>(const BigInteger& op1,const BigInteger& op2){
return !(op1<=op2);
}
ostream& operator<<(ostream& stream,const BigInteger& val){ //print the BigInteger
if (!val.sign)
stream << "-";
for ( vector<char>::const_reverse_iterator iter = val.digits.rbegin(); iter != val.digits.rend() ; iter++)
stream << (char)((*iter) + '0');
return stream;
}
istream& operator>>(istream& stream, BigInteger& val){ //Input the BigInteger
string str;
stream >> str;
val=BigInteger(str);
return stream;
}
BigInteger gcd (BigInteger m, BigInteger n)
{
if( m < n )
std::swap(m,n);
if ( n == BigInteger(0))
return m;
return gcd(n,m%n);
}
BigInteger lcm(BigInteger m, BigInteger n)
{
return m * n /gcd(m,n);
}
int main()
{
std::string b1,b2;
do
{
std::cin>>b1>>b2;
if ( b1 == b2 && b1 == "0" )
break;
BigInteger ret = lcm(BigInteger(b1), BigInteger(b2));
std::cout<<ret<<std::endl;
}while(1);
}
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