大數乘法 大數加法實現

2021-07-12 02:24:03 字數 4553 閱讀 8445

#include #include #include #include #include #include #include #include using namespace std;

// 實現兩個數的加法

// 判斷乙個字串是否為有效的數

bool isvalidnumber( const string &s )

if( 1 == len && ( '+' == s[0] || '-' == s[0] ) )

for( int i = 0; i < len; i++ )

else

} }

return ret;

}// 實現兩個正數的加法

string twopositiveplus( const string &lhs, const string &rhs )

int len1 = lhs.length();

int len2 = rhs.length();

int len = len1 > len2 ? len1 + 2 : len2 + 2;

result.resize(len);

string lhs1 = lhs;

string rhs1 = rhs;

if( '+' == lhs[0] )

if( '+' == rhs[0] )

int len11 = lhs1.length();

int len22 = rhs1.length();

int i = 0;

int j = 0;

int up = 0;

int idx = 0;

for( i = len11 - 1, j = len22 - 1; i >= 0 && j >= 0; i--, j-- )

else

} while( i >= 0 )

else

i--;

} while( j >= 0 )

else

j--;

} if( 1 == up )

result[idx] = '\0';

result.resize( idx + 1 );

for( i = 0, j = idx - 1; i < j; i++, j-- )

return result; }

// 正數加上負數

string posiveaddnegative( const string &lhs, const string &rhs )

int len1 = lhs.length();

int len2 = rhs.length();

int len = len1 > len2 ? len1 + 2 : len2 + 2;

result.resize(len);

string lhs1 = lhs;

string rhs1 = rhs;

if( '+' == lhs[0] )

if( '-' == rhs[0] )

int flag = lhs1.compare( rhs1 );

if( 0 == flag )

int isminus = 0;

int len11 = lhs1.length();

int len22 = rhs1.length();

if( ( len11 == len22 && flag < 0 ) || len11 < len22 )

int up = 0;

int idx = 0;

int i = 0;

int j = 0;

len11 = lhs1.length();

len22 = rhs1.length();

//cout << lhs1 << ' ' << rhs1 << endl;

for( i = len11 - 1, j = len22 - 1; i >= 0 && j >= 0; i--, j-- )

else

}//cout << i << ' ' << j << ' ' << result[0] << endl;

while( i >= 0 )

else

i--;

} while( j >= 0 )

else

j--;

} result[idx] = '\0';

idx + 1 );

//cout << "result=" << result << endl;

for( i = 0, j = idx - 1; i < j; i++, j-- ) //逆置一下

//cout << idx << ' ' << "result=" << result << endl; // 0001

int k = 0;

int cur = 0;

while( '0' == result[k] )

while( k <= idx )

result[cur] = '\0';

result.resize( cur + 1 ); //預留乙個字元給符號位

//cout << result << " sf" << ' ' << cur << endl;

idx = cur;

if( 1 == isminus ) //結果為負數

result[0] = '-';

result[ idx + 1 ] = '\0';

result.resize( idx + 2 );

} //cout << result << endl;

return result;

}int judgeaddtype( const string &s1, const string &s2 )

if( s1[0] != '-' && s2[0] != '-' )

else if( s1[0] != '-' && '-' == s2[0] )

else if( '-' == s1[0] && s2[0] != '-' )

else if( '-' == s1[0] && '-' == s2[0] )

return type;

}// 大數乘法

/*思想:

0 1 2 3 4

0 1 2

-----------------------

20 21 22 23 24

10 11 12 13 14

00 01 02 03 04

------------------------------------

*/string multipy( const string &s1, const string &s2 )

// 任意元素為0,乘積為0

if( ( 1 == s1.length() && '0' == s1[0] ) || ( 1 == s2.length() && '0' == s2[0] ) )

bool ispositive = true;

if( ( '-' == s1[0] && s2[0] != '-' ) || ( s1[0] != '-' && '-' == s2[0] ) )

string ss1 = s1;

string ss2 = s2;

if( !isdigit(s1[0]) )

if( !isdigit(s2[0]) )

int len1 = ss1.length();

int len2 = ss2.length();

int *presult = new int[ len1 + len2 ];

if( null == presult )

for( int i = 0; i < len1 + len2; i++ )

for( int i = len1 - 1; i >= 0; i-- ) }

for( int i = len1 + len2 - 1; i >= 1; i-- ) }

char *pch = new char[ len1 + len2 + 1 ];

if( null == pch )

int k = 0;

while( 0 == presult[k] ) // 跳過頭部0元素

int idx = 0;

if( !ispositive )

for( ; k < len1 + len2; k++ )

pch[idx] = '\0';

if( !ispositive )

string result(pch);

delete pch;

pch = null;

delete presult;

presult = null;

return result;

}int main()

else if( 0 == type ) // 正+正

else if( 1 == type ) // 正+負

else if( 2 == type ) // 負+正

else if( 3 == type ) // 負+負

}return ret;

}

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