public static ExtendedEuclideanResult ExtendedEuclide(int a, int b)
{
int x = 1;
int d = a;
int v1 = 0;
int v3 = b;
while (v3 > 0)
{
int q0 = d / v3;
int q1 = d % v3;
int tmp = v1 * q0;
int tn = x - tmp;
x = v1;
v1 = tn;
d = v3;
v3 = q1;
}
int tmp2 = x * (a);
tmp2 = d - (tmp2);
int res = tmp2 / (b);
var result = new ExtendedEuclideanResult()
{
X = x, Y = res, Gcd = d
};
return(result);
}
/// <summary>
/// u1 * a + u2 * b = u3
/// </summary>
/// <param name="a">Число a</param>
/// <param name="b">Модуль числа</param>
private static ExtendedEuclideanResult ExtendedEuclide(int a, int b)
{
int u1 = 1;
int u3 = a;
int v1 = 0;
int v3 = b;
while (v3 > 0)
{
int q0 = u3 / v3;
int q1 = u3 % v3;
int tmp = v1 * q0;
int tn = u1 - tmp;
u1 = v1;
v1 = tn;
u3 = v3;
v3 = q1;
}
int tmp2 = u1 * (a);
tmp2 = u3 - (tmp2);
int res = tmp2 / (b);
ExtendedEuclideanResult result = new ExtendedEuclideanResult()
{
u1 = u1,
u2 = res,
gcd = u3
};
return(result);
}
public static ExtendedEuclideanResult ExtendedEuclide(BigInteger a, BigInteger b)
{
BigInteger x = 1;
BigInteger d = a;
BigInteger v1 = 0;
BigInteger v3 = b;
while (v3 > 0)
{
BigInteger q0 = d / v3;
BigInteger q1 = d % v3;
BigInteger tmp = v1 * q0;
BigInteger tn = x - tmp;
x = v1;
v1 = tn;
d = v3;
v3 = q1;
}
BigInteger tmp2 = x * (a);
tmp2 = d - (tmp2);
BigInteger res = tmp2 / (b);
ExtendedEuclideanResult result = new ExtendedEuclideanResult()
{
x = x,
y = res,
gcd = d
};
return result;
}
private static ExtendedEuclideanResult ExtendedEuclide(long a, long b)
{
long u1 = 1;
long u3 = a;
long v1 = 0;
long v3 = b;
while (v3 > 0)
{
long q0 = u3 / v3;
long q1 = u3 % v3;
long tmp = v1 * q0;
long tn = u1 - tmp;
u1 = v1;
v1 = tn;
u3 = v3;
v3 = q1;
}
long tmp2 = u1 * (a);
tmp2 = u3 - (tmp2);
long res = tmp2 / (b);
ExtendedEuclideanResult result = new ExtendedEuclideanResult()
{
u1 = u1,
u2 = res,
gcd = u3
};
return(result);
}
public static ExtendedEuclideanResult ExtendedEuclide(BigInteger a, BigInteger b)
{
BigInteger x = 1;
BigInteger d = a;
BigInteger v1 = 0;
BigInteger v3 = b;
while (v3 > 0)
{
BigInteger q0 = d / v3;
BigInteger q1 = d % v3;
BigInteger tmp = v1 * q0;
BigInteger tn = x - tmp;
x = v1;
v1 = tn;
d = v3;
v3 = q1;
}
BigInteger tmp2 = x * (a);
tmp2 = d - (tmp2);
BigInteger res = tmp2 / (b);
ExtendedEuclideanResult result = new ExtendedEuclideanResult()
{
x = x,
y = res,
gcd = d
};
return(result);
}
private static ExtendedEuclideanResult ExtendedEuclide(int a, int b)
{
int u1 = 1;
int u3 = a;
int v1 = 0;
int v3 = b;
while (v3 > 0)
{
int q0 = u3 / v3;
int q1 = u3 % v3;
int tmp = v1 * q0;
int tn = u1 - tmp;
u1 = v1;
v1 = tn;
u3 = v3;
v3 = q1;
}
int tmp2 = u1 * (a);
tmp2 = u3 - (tmp2);
int res = tmp2 / (b);
ExtendedEuclideanResult result = new ExtendedEuclideanResult()
{
u1 = u1,
u2 = res,
gcd = u3
};
return result;
}
/// <summary>
/// u1 * a + u2 * b = u3
/// </summary>
private ExtendedEuclideanResult ExtendedEuclide(BigInteger a, BigInteger b)
{
BigInteger u1 = 1;
BigInteger u3 = a;
BigInteger v1 = 0;
BigInteger v3 = b;
while (v3 > 0)
{
BigInteger q0 = u3/v3;
BigInteger q1 = u3%v3;
BigInteger tmp = v1*q0;
BigInteger tn = u1 - tmp;
u1 = v1;
v1 = tn;
u3 = v3;
v3 = q1;
}
BigInteger tmp2 = u1 * (a);
tmp2 = u3 - (tmp2);
BigInteger res = tmp2 / (b);
var result = new ExtendedEuclideanResult()
{
U1 = u1,
U2 = res,
Gcd = u3
};
return result;
}
