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本帖最后由 ysr 于 2021-8-20 14:20 编辑
1~30之间的素数有10个：
2 3 5 7 11 13 17 19 23 29
这回程序可以输出2了，为此加了好几条程序语句，代码如下：
Private Function zhengchuqyushu(sa As String) As String
If InStr(sa, "/") = 0 Then
zhengchuqyushu = 0
Else
zhengchuqyushu = Mid(sa, InStr(sa, "/") + 1)
End If
End Function
Private Function zhengchuqy(sa As String) As String
If InStr(sa, "/") = 0 Then
zhengchuqy = sa
Else
zhengchuqy = Left(sa, InStr(sa, "/") - 1)
End If
End Function
Public Function MBBC(D1 As String) As String 'kai pingfang
If Len(D1) < 10 Then
jss = Int(Sqr(D1))
JW = Val(D1) - (jss) ^ 2
If JW = 0 Then
MBBC = jss
Else
MBBC = jss & "/" & JW
End If
Else
Dim x 'shuju changdu
x = Len(D1) \ 4
D2 = String(4 - Len(D1) + 4 * x, "0") & D1
Dim a() As String
ReDim a(4 To 4 * x + 4)
Dim b() As String
ReDim b(2 To 2 * x)
Dim I, J, js
For I = 4 To 4 * x + 4 Step 4
a(I) = Mid(D2, I - 3, 4)
js = Int(Sqr(Val(a(4) & a(8))))
JW = Val(a(4) & a(8)) - (js) ^ 2
Next
J = 4
Do While J <= 2 * x
jws = MPC1(JW & "0000", a(2 * J + 4))
If MBJC(Trim(jws), MbC(Trim(js), 200)) <= 0 Then
b(J) = "00"
Else
jwc = Left(jws, Len(jws) - Len(MbC(Trim(js), 200)) + 2) \ Left(MbC(Trim(js), 200), 2)
If Len(jwc) > 2 Then
b(J) = 99
Else
b(J) = jwc
End If
Do While MBJC(Trim(jws), MbC(MPC1(b(J), MbC(Trim(js), 200)), b(J))) = -1
b(J) = b(J) - 1
Loop
End If
JW = MPC(Trim(jws), MbC(MPC1(MbC(200, Trim(js)), b(J)), b(J)))
js = MPC1(MbC(Trim(js), 100), Trim(b(J)))
J = J + 2
If JW = 0 Then
MBBC = js
Else
MBBC = js & "/" & JW
End If
Loop
End If
End Function
Public Function MBJC(D1 As String, D2 As String) As String ';bijiao
If Len(D1) <= 10 And Len(D2) <= 10 Then
If Val(D1) > Val(D2) Then
MBJC = 1
Else
If Val(D1) = Val(D2) Then
MBJC = 0
Else
MBJC = -1
End If
End If
Else
If Len(D1) > Len(D2) Then
MBJC = 1
Else
If Len(D1) < Len(D2) Then
MBJC = -1
Else
If Len(D1) = Len(D2) Then
Dim x, Y
x = Len(D1) \ 4: Y = Len(D2) \ 4
Dim a() As String, b() As String
ReDim a(4 To 4 * x + 4)
ReDim b(4 To 4 * Y + 4)
If Val(Left(D1, Len(D1) - 4 * x)) > Val(Left(D2, Len(D2) - 4 * Y)) Then
MBJC = 1
Else
If Val(Left(D1, Len(D1) - 4 * x)) < Val(Left(D2, Len(D2) - 4 * Y)) Then
MBJC = -1
Else
For I = 4 To 4 * x Step 4
a(I) = Mid(D1, Len(D1) - I + 1, 4)
b(I) = Mid(D2, Len(D2) - I + 1, 4)
Next
J = 4 * x
Do While a(J) = b(J) And J >= 8
J = J - 4
Loop
If Val(a(J)) - Val(b(J)) > 0 Then
MBJC = 1
Else
If Val(a(J)) - Val(b(J)) < 0 Then
MBJC = -1
Else
MBJC = 0
End If
End If
End If
End If
End If
End If
End If
End If
End Function
Public Function MCC(D1 As String, D2 As String) As String ';除数少于8位的除法
If Len(D1) < Len(D2) Then
MCC = "0" & "/" & D1
Else
If Len(D1) < 9 Then
MCC = Val(D1) \ Val(D2) & "/" & Val(D1) - (Val(D1) \ Val(D2)) * Val(D2)
If Mid(MCC, InStr(MCC, "/") + 1) = 0 Then
MCC = Left(MCC, InStr(MCC, "/") - 1)
Else
MCC = MCC
End If
Else
Dim x ';fen duan changdu
x = Len(D1)
Dim a() As String
ReDim a(1 To x) ';定义数组的储存空间
For I = 1 To x Step 1 ';把被除数各位放在a()中
a(I) = Mid(D1, I, 1)
Next I
Dim b() As String
JW = 0
ReDim b(1 To x)
For J = 1 To x Step 1
b(J) = Val(JW & a(J)) \ Val(D2)
JW = Val(JW & a(J)) - Val(b(J)) * Val(D2)
Next J
For r = 1 To x
If JW = 0 Then
MCC = MCC & b(r)
Else
CJ = CJ & b(r)
MCC = CJ & "/" & JW
End If
For I = 1 To Len(MCC)
If Not Mid(MCC, I, 1) = "0" Then
Exit For
End If
Next
strtmp = Mid(MCC, I)
If Len(strtmp) = 0 Then
MCC = "0"
Else
MCC = strtmp
End If
Next
End If
End If
End Function
Public Function MCC1(D1 As String, D2 As String) As String ';大整数的除法
Dim ss
ss = MBJC(D1, D2)
If ss = -1 Then
MCC1 = "0" & "/" & D1
Else
If ss = 0 Then
MCC1 = 1
Else
If Len(D1) = Len(D2) Then
s = Val(Left(D1, 1)) \ Val(Left(D2, 1))
Do While MBJC(MbC(Trim(s), Trim(D2)), D1) = 1
s = s - 1
Loop
If MBJC(MbC(Trim(s), Trim(D2)), D1) = 0 Then
MCC1 = s
Else
MCC1 = s & "/" & MPC(Trim(D1), MbC(Trim(s), Trim(D2)))
End If
Else
If Len(D2) < 9 Then
MCC1 = MCC(D1, D2)
Else
Dim x, Y ';定义分段长度
x = Len(D1): Y = Len(D2)
Dim JW, jcc, jss, jcs
Dim a() As String, b() As String
ReDim a(1 To x)
ReDim b(1 To Y)
For I = 1 To x
a(I) = Mid(D1, I, 1)
Next
For J = 1 To Y
b(J) = Mid(D2, J, 1)
Next
jcc = Val(a(1) & a(2)) \ Val(b(1) & b(2))
jss = MbC(Trim(jcc), D2)
For i1 = 1 To Y
jws = jws & a(i1)
Next
Do While MBJC(Trim(jws), Trim(jss)) = -1
jcc = jcc - 1
jss = MbC(Trim(jcc), D2)
Loop
JW = MPC(Trim(jws), Trim(jss))
z = x - Y
Dim c() As String
ReDim c(1 To z)
For s = 1 To z
If MBJC(JW & a(s + Y), D2) = -1 Then
c(s) = "0"
Else
jwc = Val(Left(JW & a(s + Y), 3)) \ Val(Left(D2, 2))
If Len(jwc) > 1 Then
c(s) = "9"
Else
c(s) = jwc
End If
Do While MBJC(JW & a(s + Y), MbC(Val(c(s)), D2)) = -1
c(s) = Right(10000 + Val(c(s) - 1), 1)
Loop
End If
JW = MPC(JW & a(s + Y), MbC(Val(c(s)), D2))
jcc = jcc & c(s)
Next s
If JW = 0 Then
MCC1 = jcc
Else
MCC1 = jcc & "/" & JW
End If
For I = 1 To Len(MCC1)
If Not Mid(MCC1, I, 1) = "0" Then
Exit For
End If
Next
strtmp = Mid(MCC1, I)
If Len(strtmp) = 0 Then
MCC1 = "0"
Else
MCC1 = strtmp
End If
End If
End If
End If
End If
End Function
Public Function MbC(D1 As String, D2 As String) As String '乘法
Dim x, Y '两数长度
x = Len(D1): Y = Len(D2)
Dim a() As Integer
ReDim a(1 To x + Y, 1 To Y)
Dim I, J, C1, C2, CJ, JW
For J = Y To 1 Step -1 'D2
JW = 0 '进位清0
C2 = Mid$(D2, J, 1) '每位数
For I = x To 1 Step -1 'D1
C1 = Mid$(D1, I, 1) '每位数
CJ = C1 * C2 + JW '计算乘积
c = I + J: r = Y + 1 - J
a(c, r) = CJ Mod 10 '本位
JW = CJ \ 10 '进位
Next
a(c - 1, r) = JW
Next
Dim b() As Integer
ReDim b(1 To x + Y)
JW = 0
For I = x + Y To 1 Step -1
Bit = JW
For J = 1 To Y
Bit = Bit + a(I, J)
Next
b(I) = Bit Mod 10
JW = Bit \ 10
Next
If b(1) > 0 Then
MbC = MbC & b(1)
Else
MbC = MbC
End If
For I = 2 To x + Y
MbC = MbC & b(I)
Next
End Function
Public Function MPC(D1 As String, D2 As String) As String ';jianfaqi
Dim x, Y ';两数长度
If Len(D1) >= Len(D2) Then
D4 = String(Len(D1) - Len(D2), "0") & D2
d3 = D1
Else
D4 = D2
d3 = String(Len(D2) - Len(D1), "0") & D1
End If
x = Len(d3): Y = Len(D4)
Dim a() As Integer, B1() As Integer, C1() As Integer, E1() As Integer
ReDim a(1 To x)
ReDim B1(1 To Y)
ReDim C1(1 To x)
ReDim E1(1 To x)
Dim I, J, C2, CJ, JW
For J = Y To 1 Step -1 ';D2
JW = 1 ';yu jie weichuzhi
B1(J) = Mid(D4, J, 1) ';每位数
For I = x To 1 Step -1 ';D1
a(I) = Mid(d3, I, 1) ';每位数
C1(I) = 10 + a(I) - B1(I) - 1 + JW ';计算jia
JW = C1(I) \ 10
E1(I) = C1(I) Mod 10
Next
Next
For r = 1 To x
MPC = MPC & E1(r)
For I = 1 To Len(MPC)
If Not Mid(MPC, I, 1) = "0" Then
Exit For
End If
Next
strtmp = Mid(MPC, I)
If Len(strtmp) = 0 Then
MPC = "0"
Else
MPC = strtmp
End If
Next
End Function
Public Function MPC1(D1 As String, D2 As String) As String 'jiafa
Dim x, Y '两数长度
If Len(D1) >= Len(D2) Then
D4 = String(Len(D1) - Len(D2), "0") & D2
d3 = D1
Else
D4 = D2
d3 = String(Len(D2) - Len(D1), "0") & D1
End If
x = Len(d3): Y = Len(D4)
Dim a() As Integer, B1() As Integer, C1() As Integer, E1() As Integer
ReDim a(1 To x)
ReDim B1(1 To Y)
ReDim C1(1 To x)
ReDim E1(1 To x)
Dim I, J, C2, CJ, JW
For J = Y To 1 Step -1 'D2
JW = 0 '进位清0
B1(J) = Mid$(D4, J, 1) '每位数
For I = x To 1 Step -1 'D1
a(I) = Mid$(d3, I, 1) '每位数
C1(I) = a(I) + B1(I) + JW '计算jia
JW = C1(I) \ 10
E1(I) = C1(I) Mod 10
Next
Next
For r = 1 To x
If JW = 0 Then
MPC1 = MPC1 & E1(r)
Else
jc = jc & E1(r)
MPC1 = JW & jc
End If
Next
End Function
Private Function zzxc(sa As String, sb As String) As String
Dim a, b, c, d, r
a = Trim(sa)
b = Trim(sb)
If Len(a) < 10 And Len(b) < 10 Then
If Val(a) > Val(b) Then
c = a
d = b
Else
c = b
d = a
End If
Do Until Val(c) Mod Val(d) = 0
r = c Mod d
c = d
d = r
Loop
Else
If MBJC(Trim(a), Trim(b)) >= 1 Then
c = a
d = b
Else
c = b
d = a
End If
Do Until zhengchuqyushu(MCC1(Trim(c), Trim(d))) = 0
r = zhengchuqyushu(MCC1(Trim(c), Trim(d)))
c = d
d = r
Loop
End If
zzxc = d
End Function
Private Function qniyuan(sa As String, sb As String) As String
Dim n, p, a, b, c, d, r
n = Trim(sa)
p = Trim(sb)
a = 1
b = 0
c = 0
d = 1
If Len(n) < 10 And Len(p) < 10 Then
If Val(n) > Val(p) Then
m = n
q = p
s1 = 1
Else
m = p
q = n
s1 = 0
End If
Do Until Val(m) Mod Val(q) = 0
s = m \ q
r = m Mod q
s1 = s1 + 1
If s1 Mod 2 = 1 Then
a = a
b = a * s + b
c = c
d = c * s + d
Else
b = b
a = a + b * s
d = d
c = c + d * s
End If
m = q
q = r
Loop
If Val(a + b * m) = p Then
b = b
a = a + b * (m - 1)
d = d
c = c + d * (m - 1)
Else
If Val(b + a * m) = p Then
a = a
b = b + a * m
c = c
d = d + c * m
Else
b = b
a = a + b * (m - 1)
d = d
c = c + d * (m - 1)
End If
End If
x = (a + b) Mod p
Y = (c + d) Mod n
Else
If MBJC(Trim(n), Trim(p)) >= 1 Then
m = n
q = p
s1 = 1
Else
m = p
q = n
s1 = 0
End If
Do Until zhengchuqyushu(MCC1(Trim(m), Trim(q))) = 0
s = zhengchuqy(MCC1(Trim(m), Trim(q)))
r = zhengchuqyushu(MCC1(Trim(m), Trim(q)))
s1 = s1 + 1
If s1 Mod 2 = 1 Then
a = a
b = MPC1(MbC(Trim(a), Trim(s)), Trim(b))
c = c
d = MPC1(MbC(Trim(c), Trim(s)), Trim(d))
Else
b = b
a = MPC1(Trim(a), MbC(Trim(b), Trim(s)))
d = d
c = MPC1(Trim(c), MbC(Trim(d), Trim(s)))
End If
m = q
q = r
Loop
If MPC1(Trim(a), MbC(Trim(b), Trim(m))) = p Then
b = b
a = MPC1(Trim(a), MbC(Trim(b), MPC(Trim(m), 1)))
d = d
c = MPC1(Trim(c), MbC(Trim(d), MPC(Trim(m), 1)))
Else
If MPC1(Trim(b), MbC(Trim(a), Trim(m))) = p Then
a = a
b = MPC1(Trim(b), MbC(Trim(a), Trim(m)))
c = c
d = MPC1(Trim(d), MbC(Trim(c), Trim(m)))
Else
b = b
a = MPC1(Trim(a), MbC(Trim(b), MPC(Trim(m), 1)))
d = d
c = MPC1(Trim(c), MbC(Trim(d), MPC(Trim(m), 1)))
End If
End If
Do While Left(a, 1) = "0"
a = Mid(a, 2)
Loop
End If
qniyuan = a
End Function
Private Function qksmimo(sa As String, sb As String, sc As String) As String
Dim c, e, n, d
c = Trim(sa)
e = Trim(sb)
n = Trim(sc)
d = 1
If Len(c) < 5 And Len(e) < 5 And Len(n) < 5 Then
c = Val(c): n = Val(n)
Do While e > 0
If Right(e, 1) Mod 2 = 0 Then
c = c * c Mod n
e = e / 2
Else
d = d * c Mod n
e = e - 1
End If
Loop
Else
c = c
Do While MBJC(Trim(e), 1) >= 0
If Right(e, 1) Mod 2 = 0 Then
c = zhengchuqyushu(MCC1(MbC(Trim(c), Trim(c)), Trim(n)))
e = zhengchuqy(MCC1(Trim(e), 2))
Else
d = zhengchuqyushu(MCC1(MbC(Trim(c), Trim(d)), Trim(n)))
e = MPC(Trim(e), 1)
End If
Loop
End If
qksmimo = d
End Function
Private Function fenjieyinzi(sa As String) As String
Dim x, a, b
x = sa
b = Int(Sqr(Val(x)) / 2)
If x = 3 Or x = 2 Then
a = True
Else
If x Mod 2 = 0 Then
a = False
Else
For I = 3 To 2 * b + 1 Step 2
If x Mod I = 0 Then
a = False
Exit For
Else: a = True
End If
Next
End If
End If
If a = True Then
fenjieyinzi = "这是个素数"
Else
fenjieyinzi = "2*2"
End If
End Function
Private Sub Command1_Click()
Dim a, n
n = Trim(Text1)
n3 = n
m = Trim(Text2)
Do While MBJC(Trim(n), 3) < 0
If MBJC(Trim(n), 2) = 0 Then
m1 = m1 & n & " "
s = s + 1
Else
m1 = m1
End If
n = n + 1
Loop
If Right(n, 1) Mod 2 = 0 Then
n = MPC1(Trim(n), 1)
Else
n = n
End If
Do While MBJC(Trim(n), Trim(m)) <= 0
If Len(n) < 11 Then
a1 = fenjieyinzi(Trim(n))
If InStr(a1, "*") = 0 Then
s = s + 1
If s Mod 10 = 0 Then
m1 = m1 & n & vbCrLf
Else
m1 = m1 & n & " "
End If
Else
m1 = m1
End If
Else
n1 = MPC(Trim(n), 1)
a = 123
'a为明文
a1 = zzxc(Trim(n), Trim(a))
If Val(a1) > 1 Then
m1 = m1
Else
c = 999
'c为公约
Do While zzxc(Trim(n1), Trim(c)) > 1
c = Val(c - 1)
Loop
d = qniyuan(Trim(c), Trim(n1))
'd为逆元为私钥
a2 = qksmimo(Trim(a), Trim(c), Trim(n))
'a2为密文
a3 = qksmimo(Trim(a2), Trim(d), Trim(n))
If MBJC(Trim(a3), Trim(a)) = 0 Then
s = s + 1
If s Mod 10 = 0 Then
m1 = m1 & n & vbCrLf
Else
m1 = m1 & n & " "
End If
Else
m1 = m1
End If
End If
End If
n = MPC1(Trim(n), 2)
Loop
Text3 = n3 & "~" & m & "之间的素数有" & s & "个：" & vbCrLf & m1
End Sub
Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
End Sub
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狗仔卡
发表于 2020-12-8 21:43
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